Walter Van Assche

I am professor emeritus at the department of mathematics of the University of Leuven (KU Leuven) since October 1, 2023. I was the head of the department of mathematics from 2006 to 2015 and I am a member of the section of Analysis. Up to September 30, 2000 I was a Research Director (onderzoeksdirecteur) of the Belgian National Fund for Scientific Research, now Research Foundation - Flanders (FWO). I was chair of the SIAM activity group Orthogonal Polynomials and Special Functions from 2014 to 2019. 

I am an editor of the Journal of Approximation Theory
I am on the editorial board of the Journal of Difference Equations and Applications
I am on the editorial board of SIGMA (Symmetry, Integrability and Geometry: Methods and Applications).
I am also on the editorial board of Constructive Approximation

Research

• Orthogonal polynomials. See the website of the OPSFA conferences (Orthogonal Polynomials, Special Functions and their Applications)
• Difference equations
• Approximation theory (polynomial approximation, rational approximation)
• Mathematical analysis of stochastic processes
• Special functions
• Belgian Interuniversity Attraction Poles Programma P6/02: NOSY Nonlinear Systems, Stochastic Processes and Statistical Mechanics
• Research Grant OT/08/033 of the Research Counsel of KU Leuven: Asymptotic analysis of special functions, random matrices and non-intersecting random paths
• FWO project G.0427.09: Asymptotic analysis of non-intersecting Brownian motions
• Research Grant OT/12/073 of the Research Counsel of KU Leuven: Equilibrium problems for measures and their applications
• Belgian Interuniversity Attraction Poles Programma P7/18: DYGEST Dynamics, Geometry and Statistical Physics (coordinator P. Bieliavsky)
• FWO Research project G.0934.13: Equilibrium problems for measures and their applications
• FWO Research project G.086416N: Products of random matrices
• EOS Research project 30889451: Partners in Research on Integrable Models and Applications (PRIMA) (coordinator A.B.J. Kuijlaars) 
• FWO Research project G.0C9819N: Matrix valued orthogonal polynomials and applications (with E. Koelink).

Teaching

• Probleemoplossend werken in de wiskunde (Problem solving in mathematics), bachelor wiskunde (bachelor mathematics)

Upcoming Events

• Workshop on Integrable Systems and Orthogonal Polynomials - Numerical and Analytical Perspectives, AIMS South Africa, Muizenberg, Cape Town, South Africa,  April 11-15, 2023. (done)
• International conference on Approximation Theory and Beyond, Vanderbilt University, Nashville, Tennessee, May 15-18, 2023. (done)
• Orthogonal Polynomials and Applications (to celebrate my 65th birthday), Leuven, June 8-10, 2023  (well done)
• Foundations of Computational Mathematics (FoCM 2023), Paris, France, 12-21 June 2023. (done)
• International mathematical conference on Analysis, Approximation, Applications (dedicated to Gradimir Milovanović on the occassion of his 75th birthday), Vrnjačka Banja, Serbia, June 21-24, 2023. (done)
• Workshop Algebraic structures and special functions in theoretical physics (in honor of Luc Vinet), Ghent University, June 26-30, 2023. (done)
• International Conference on Industrial and Applied Mathematics, Tokyo, Japan,  August 20-25, 2023. (done)
• Workshop on Computational and Applied Mathematics (CAM23) (on the occasion of Marc Van Barel's retirement), Hotel Sierra Silvana, Selva di Fasano (Italy), August 29 - September 1. (done)
• Hypergeometric and Orthogonal Polynomials Event (HOPE), Radboud University, Nijmegen (The Netherlands), May 1-3, 2024. (done)
• Journées Approximation, Université de Lille (France), May 15-17, 2024. (done)
• Conference Asymptotics, Randomness, Nonlinearity and Orthogonality (on the occasion of Arno Kuijlaars's 60th birthday), Leuven, May 27-31, 2024. (well done)
• International Conference on Analysis and Applications (in honor of Prof. Roderick S.C. Wong's 80th birthday), Hong Kong, June 3-6, 2024. (done)
• International symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA17), Universidad de Granada, Spain, June 24-28, 2024. (done)
• International Conference on Difference Equations and Applications (ICDEA), Paris, France, June 24-28, 2024. (done)
• Orthogonal Polynomials, Special Functions, Operator Theory and Applications (OPSFOTA) conference, Bristol, UK, July 2-4, 2024. (done)
• International Workshop on Operator Theory and Applications, University of Kent, Canterbury UK, August 12-16, 2024. (done)
• Constructive Functions 2025 (dedicated to Ed Saff's 80th birthday), Vanderbilt University, Nashville TN, U.S.A., May 19-22, 2025.
• Approximation, Quadrature and Applications (AQuA25), Santa Margherita di Pula, Sardinia, Italy, October 9-11, 2025.

Ph. D. Students

• Ann Sinap: Berekeningsaspecten van orthogonale matrixveeltermen (computational aspects of orthogonal matrix polynomials); March 3, 1995.
• Rudi Maelbrancke: Linear and spatial data structures: new techniques for analysis and optimization (advisors: H. Olivié and W. Van Assche); March 11, 1996.
• Michael Leuschel: Advanced techniques for logic program specialisation (Advisors: D. De Schreye and W. Van Assche); May 27, 1997.
• Lieve Delbeke: Wavelet based estimators for the Hurst parameter of a self-similar process; June 12, 1998.
• Erwin Simons: An efficient multi-domain approach to large-eddy simulation of incompressible turbulent flows in complex geometries (advisors: M. Manna  and W. Van Assche; prepared at von Karman Institute), October 10, 2000.
• Els Coussement: Multiple orthogonal polynomials associated with modified Bessel functions, July 4, 2002
• Jonathan Coussement: Integrable systems of Toda type related to orthogonal functions, February 23, 2005
• Hans Van de Vyver: Runge-Kutta type methods for periodic initial value problems, March 15, 2006
• Christophe Smet: The Hermite-Padé approximation technique for proving irrationality of certain numbers, September 22, 2009
• Lies Boelen: Discrete Painlevé equations and orthogonal polynomials, May 28, 2010
• François Ndayiragije: Multiple Charlier and Meixner polynomials, July 10, 2012
• Maciej Haneczok: Nearest neighbor recurrence relations for multiple orthogonal polynomials, October 9, 2014
• Jean Paul Nuwacu: q-Nonuniform difference classical analysis (advisors: Gaspard Bangerezako at Université du Burundi and Walter Van Assche), December 13, 2019 (Université du Burundi)
• Marjolein Leurs: Jacobi-Angelesco multiple orthogonal polynomials, March 30, 2022
• Bruno Eijsvoogel: Matrix valued special functions and applications in physics (advisors: Erik Koelink at Radboud University and Walter Van Assche), June 1, 2022
• Thomas Wolfs: Rational approximation and number theory, in preparation

Recent Publications

Books:

• Orthogonal Polynomials and Special Functions: Computation and Applications, Lecture Notes in Mathematics 1883 (F. Marcellán, W. Van Assche)
• Laredo Lectures on Orthogonal Polynomials and Special Functions, Nova Science Publishers (R. Álvarez-Nodarse, F. Marcellán, W. Van Assche)
• Orthogonal Polynomials and Special Functions: Leuven 2002, Lecture Notes in Mathematics 1817 (E. Koelink, W. Van Assche)
• Asymptotics for Orthogonal Polynomials, Lecture Notes in Mathematics 1265
• Difference Equations, Special Functions and Orthogonal Polynomials, proceedings of the international conference, Munich, Germany 25-30 July 2005, World Scientific, 2007 (S. Elaydi, J. Cushing, R. Lasser, A. Ruffing, V. Papageorgiou, W. Van Assche)
• I wrote two chapters in Mourad Ismail’s book: Classical and Quantum Orthogonal Polynomials in One Variable, Encyclopedia of Mathematics and its Applications 98, Cambridge University Press, 2005. These are Chapter 22 (The Riemann-Hilbert Problem) and Chapter 23 (Multiple Orthogonal Polynomials).
• Orthogonal Polynomials and Painlevé Equations, Australian Mathematical Society Lecture Series 27, Cambridge University Press, 2018. Errata
• I am an editor (with Mourad Ismail) of the Encyclopedia of Special Functions (The Askey-Bateman Project), of which Volume I: Univariate Orthogonal Polynomials (Mourad Ismail) is now available. Volume II: Multivariable Special Functions (Tom Koornwinder and Jasper Stokman) is also available.

Papers:

• Ordinary special functions and nonlinear special functions, Encyclopedia of Mathematical Physics, 2nd Edition. doi.org/10.1016/B978-0-323-95703-8.00038-0
• Orthogonal polynomials and integrable systems, Encyclopedia of Mathematical Physics, 2nd Edition. doi.org/10.1016/B978-0-323-95703-8.00019-7
• Rational approximation of Euler's constant using multiple orthogonal polynomials (with Thomas Wolfs), Combinatorics and Number Theory 14 (2025), 141-162. doi.org/10.2140/cnt.2025.14.141
• A MATLAB package computing simultaneous Gaussian quadrature rules for multiple orthogonal polynomials (with Teresa Laudadio, Nicola Mastronardi and Paul Van Dooren), J. Comput. Appl. Math. 451 (2024), 116109  doi.org/10.1016/j.cam.2024.116109
• A Golub-Welsch version for simultaneous Gaussian quadrature, Numer. Algorithms doi.org/10.1007/s11075-024-01767-2
• Unique special solution for discrete Painlevé II, J. Difference Equations Appl. 30 (2024), no. 4, 465-474. doi.org/10.1080/10236198.2023.2294919
• Multiple orthogonal polynomials associated with the exponential integral (with Thomas Wolfs), Stud. Appl. Math. 151 (2023), no. 2, 411-449. doi.org/10.1111/sapm.12608
• Christoffel functions for multiple orthogonal polynomials (with Grzegorz Swiderski), J. Approx. Theory 283 (2022), 105820. doi.org/10.1016/j.jat.2022.105820
• Chebyshev polynomials in the 16th century, J. Approx. Theory 279 (2022), 105767. doi.org/10.1016/j.jat.2022.105767
• Orthogonal polynomials, Toda lattices and Painlevé equations, Physica D: Nonlinear Phenomena 434 (2022), 133214.   doi.org/10.1016/j.physd.2022.133214
• Zero distribution of orthogonal polynomials on a q-lattice  (with Quinten Van Baelen), Constr. Approx. 54 (2021), 117-144. doi:10.1007/s00365-020-09513-2
• Multiple Askey-Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials  (with Jean Paul Nuwacu), Trans. Amer. Math. Soc. 373 (2020), no. 12, 8289-8312. doi:1090/tran/8200
• Laguerre-Angelesco multiple orthogonal polynomials on an r-star (with Marjolein Leurs), J. Approx. Theory 250 (2020), 105324, 30 pp. doi:10.1016/j.jat.2019.105324 
• Orthogonal and multiple orthogonal polynomials, random matrices, and Painlevé equations , in "Orthogonal Polynomials", Tutorials, Schools and Workshops in the Mathematical Sciences, Springer Nature Switzerland, 2020, pp. 629-683. doi:101007/978-3-030-36744-2_22
• Solution of an open problem about two families of orthogonal polynomials, SIGMA Symmetry Integrability Geom. Methods Appl. 15 (2019), 005, 6 pages. doi:10.3842/SIGMA.2019.005
• Threefold symmetric Hahn-classical multiple orthogonal polynomials (with Ana Loureiro), Analysis and Applications 18, no. 2 (2020), 271-332.  doi:10.1142/S0219530519500106
• Multiple Hermite polynomials and simultaneous Gaussian quadrature (with Anton Vuerinckx), Electron. Trans. Numer. Anal. 50 (2018), 182-198. doi:10.1553/etna_vol50s182
• Jacobi-Angelesco multiple orthogonal polynomials on an r-star (with Marjolein Leurs), Constr. Approx. 51 (2020), no. 2, 353-381. doi:10.1007/s00365-019-09457-2
• Discrete orthogonal polynomials with hypergeometric weights and Painlevé VI (with Galina Filipuk), SIGMA Symmetry Integrability Geom. Methods Appl. 14 (2018), 088, 19 pages. doi:10.3842/SIGMA.2018.088
• Riemann-Hilbert analysis for a Nikishin system (with Guillermo López Lagomasino), Mat. Sb. 209 (2018), no. 7, 106-138 (in Russian); Sbornik: Mathematics 209 (2018), no. 7, 1019-1050. doi:10.1070/SM8889
• What is ... a multiple orthogonal polynomial? (with Andrei Martínez-Finkelshtein), Notices of the Amer. Math. Soc. 63 (2016), no. 9, 1029--1031. doi:10.1090/noti1430
• Majorization results for zeros of orthogonal polynomials, Proc. Amer. Math. Soc. 145 (2017), no. 9, 3849-3863. doi:10.1090/proc/13560
• Simultaneous Gaussian quadrature for Angelesco systems (with Doron S. Lubinsky), Jaén Journal of Approximation 8 (2016), no. 2, 113-149.
• Alpert multiwavelets and Legendre-Angelesco multiple orthogonal polynomials (with Jeffrey S. Geronimo and Plamen Iliev), SIAM J. Math. Anal. 49 (2017), no. 1, 626-645. doi:10.1137/16M1064465
• Multidimensional Toda lattices: continuous and discrete time (with Alexander I. Aptekarev, Maxim Derevyagin, Hiroshi Miki), SIGMA 12 (2016), 054, 30 pages. doi:10.3842/SIGMA.2016.054
• Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials (with Thorsten Neuschel), J. Approx. Theory 205 (2016), 114-132. doi:10.1016/j.jat.2016.02.002
• Unique positive solution for an alternative discrete Painlevé I equation (with Peter Clarkson and Ana F. Loureiro), J. Difference Equations Appl. 22 (2016), no. 5, 556-675. doi:10.1080/10236198.2015.1127917
• Hermite-Padé approximants for a pair of Cauchy transforms with overlapping symmetric supports (with Alexander Aptekarev and Maxim Yattselev), Commun. Pure Appl. Math. 70 (2017), 444-510. doi:10.1002/cpa.21675
• On 2D discrete Schrödinger operators associated with multiple orthogonal polynomials (with Alexander Aptekarev and Maxim Derevyagin), J. Phys. A: Math. Theor. 48 (2015), 065201 (16 pp.). doi:10.1088/1751-8113/48/6/065201
• Discrete integrable systems generated by Hermite-Padé approximants (with Alexander Aptekarev and Maxim Derevyagin), Nonlinearity 29 (2016), 1487-1506. doi:10.1088/0951-7715/29/5/1487
• Mehler-Heine asymptotics for multiple orthogonal polynomials, Proc. Amer. Math. Soc. 145 (2017) nr. 1, 303-314. doi:10.1090/proc/13214
• Ratio asymptotics for multiple orthogonal polynomials in "Modern Trends in Constructive Function Theory" (D.P. Hardin, D.S. Lubinsky, B.Z. Simanek, eds.), Contemporary Mathematics 661 (2016), 73-85. doi:10.1090/conm/661/13275
• Hyperelliptic uniformization of algebraic curves of the third order (with A.I. Aptekarev and D.N. Toulyakov), J. Comput. Appl. Math. 284 (2015), 38-49. doi:10.1016/j.cam.2014.11.048
• Computing recurrence coefficients of multiple orthogonal polynomials (with Galina Filipuk and Maciej Haneczok), Numer. Algorithms 70 (2015), 519-543. doi:10.1007/s11075-015-9959-8
• Orthogonal polynomials for Minkowski's question mark function (with Zoé Dresse), J. Comput. Appl. Math. 284 (2015), 171-183. doi:10.1016/j.cam.2014.07.013
• Multiple orthogonal polynomials associated with an exponential cubic weight (with Galina Filipuk and Lun Zhang), J. Approx. Theory. 190 (2015), 1-25 doi:10.1016/j.jat.2014.06.006
• A family of nonlinear difference equations: existence, uniqueness, and asymptotic behavior of positive solutions (with Saud M. Alsulami, József Szabados and Paul Nevai), J. Approx. Theory. 193 (2015), 39-55. doi:10.1016/j.jat.2014.04.012
• Zero distribution of polynomials satisfying a differential-difference equation (with Diego Dominici), Analysis and Applications 12 (2014), no. 6, 635-666. doi:10.1142/S0219530514500390
• Variations of Stieltjes-Wigert and q-Laguerre polynomials and their recurrence coefficients (with Lies Boelen), J. Approx. Theory 193 (2015), 56-73. doi:10.1016/j.jat.2014.06.012
• Multiple Meixner polynomials and non-Hermitian oscillator Hamiltonians (with François Ndayiragije), J. Phys. A: Math. Theor. 46 (2013), 505201 (17 pp). doi:10.1088/1751-8113/46/50/505201
• Chapter 15: Gauss-type quadrature, in “Walter Gautschi, Volume 2: Selected Works with Commentaries”, C. Brezinski and A. Sameh (eds.), Birkhäuser Basel, 2014, pp. 35-49. doi:10.1007/978-1-4614-7049-6_5
• The generalized Krawtchouk polynomials and the fifth Painlevé equation (with Lies Boelen, Galina Filipuk, Christophe Smet and Lun Zhang), J. Difference Equations Appl. 19, no. 9 (2013), 1437-1451. doi:10.1080/10236198.2012.755522
• Ladder operators and differential equations for multiple orthogonal polynomials (with Galina Filipuk and Lun Zhang), J. Phys. A: Math. Theor. 46 (2013), 205204 (24 pp). doi:10.1088/1751-8113/46/20/205204
• Life and work (so far) of Paco Marcellán (with Manuel Alfaro), in "Recent Advantages in Orthogonal Polynomials, Special Functions, and Their Applications" (J. Arvesú and G. López Lagomasino, eds.), Contemporary Mathematics 578 (2012), 1-18. doi:10.1090/conm/578/11476
• Interlacing properties of zeros of multiple orthogonal polynomials (with Maciej Haneczok), J. Math. Anal. Appl. 389 (2012), 429-438. doi:10.1016/j.jmaa.2011.11.077
• Asymptotics for the ratio and the zeros of multiple Charlier polynomials (with François Ndayiragije), J. Approx. Theory 164 (2012), 823-840; reprinted in J. Approx. Theory 170 (2013), 3-20 (Proceedings of OPSFA-11). doi:10.1016/j.jat.2012.03.005
• Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation (with Galina Filipuk), Proc. Amer. Math. Soc. 141, nr. 2 (2013), 551-562. doi:10.1090/S0002-9939-2012-11468-6
• Recurrence coefficients of a new generalization of the Meixner polynomials (with Galina Filipuk), SIGMA Symmetry Integrability Geom. Methods Appl. 7 (2011), 068, 11 pages. doi:10.3842/SIGMA.2011.068
• Nearest neighbor recurrence relations for multiple orthogonal polynomials, J. Approx. Theory 163 (2011), 1427-1448. doi:10.1016/j.jat.2011.05.003
• The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation (with Galina Filipuk and Lun Zhang), J. Phys. A: Math. Theor. 45, number 20 (2012), 205201 (13 pp). doi:10.1088/1751-8113/45/20/205201
• Orthogonal polynomials on a bi-lattice (with Christophe Smet), Constr. Approx. 36, nr. 2 (2012), 215-242. doi:10.1007/s00365-011-9145-8
• Recurrence coefficients of generalized Meixner polynomials and Painlevé equations (with Lies Boelen and Galina Filipuk), J. Phys. A: Math. Theor. 44, number 3 (2011), 035202 (19 pp.) doi:10.1088/1751-8113/44/3/035202
• Hermite-Padé rational approximation to irrational numbers Comput. Methods Funct. Theory 10 (2010), nr. 2, 585-602.
• Orthogonal polynomials and approximation theory: some open problems in "Recent Trends in Orthogonal Polynomials and Approximation Theory" (eds. J. Arvesú, F. Marcellán, A. Martínez-Finkelshtein), Contemporary Mathematics 507, (2010), 287-298
• Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials (with Lies Boelen), Proc. Amer. Math. Soc. 138, no. 4 (2010), 1317-1331.
• Irrationality proof of a q-extension of ζ(2) using little q-Jacobi polynomials (with Christophe Smet), Acta Arithmetica 138, nr. 2 (2009), 165-178.
• Mellin transforms for multiple Jacobi-Piñeiro polynomials (with Christophe Smet), J. Approx. Theory 162 (2010), 782-806.
• q-Discrete Painlevé equations for recurrence coefficients of modified q-Freud orthogonal polynomials (with Lies Boelen and Christophe Smet), J. Difference  Equations Appl. 16, no. 1 (2010), 37-53.
• Asymptotics of Hermite-Padé rational approximants for two analytic functions with separated pairs of branch points (case of genus 0) (with A.I. Aptekarev and AB.J. Kuijlaars), Internat. Math. Research Papers 2008 (2008), rpm007-128.
• Leonhard Euler and a q-analogue of the logarithm (with Erik Koelink), Proc. Amer. Math. Soc. 137 (2009), 1663-1676.
• Padé and Hermite-Padé approximation and orthogonality, Surveys in Approximation Theory 2 (2006), 61-91.
• Multiple orthogonal polynomials on the unit circle (with Judit Mínguez Ceniceros), Constr. Approx. 28 (2008), 173-197.
• Asymptotic zero distribution for a class of multiple orthogonal polynomials (with E. Coussement and J. Coussement), Trans. Amer. Math. Soc. 360 (2008), 5571-5588.
• Rakhmanov’s theorem for orthogonal matrix polynomials on the unit circle, J. Approx. Theory 146 (2007), 227-242
• Irrationality of z_q(1) and z_q(2) (with K. Postelmans), J. Number Theory 126 (2007), 119-154.
• Chapter 22: The Riemann Hilbert Problem, in “Classical and Quantum Orthogonal Polynomials in One Variable”, M.E.H. Ismail, Cambridge University Press, 2005.
• Chapter 23: Multiple Orthogonal Polynomials, in “Classical and Quantum Orthogonal Polynomials in One Variable”, M.E.H. Ismail, Cambridge University Press, 2005.
• Varying weights for orthogonal polynomials with monotonically varying recurrence coefficients (with A.I. Aptekarev and J.S. Geronimo), J. Approx. Theory 150 (2008), 214-238.
• Differential equations for multiple orthgonal polynomials with respect to classical weights: raising and lowering operators (with J. Coussement), J. Phys. A: Math. Gen. 39 (2006), 3311-3318.
• Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials, Proceedings of the international conference on Difference Equations, Special Functions and Orthogonal Polynomials, World Scientific, 2007, pp. 687-725.
• Type II Hermite-Padé approximation to the exponential function (with A.B.J. Kuijlaars, H. Stahl, F. Wielonsky), J. Comput. Appl. Math. 207 (2007), 227-244.
• WKB and turning point theory for second-order difference equations (with J.S. Geronimo and O. Bruno), Operator Theory: Advances and Applications 154 (2004), 101-138.
• Analytic number theory and approximation, Coimbra Lecture Notes on Orthogonal Polynomials (A.P. Foulquié Moreno et al, eds.), Nova Science Publishers, 2007, pp. 211-243.
• A continuum limit of the relativistic Toda lattice: asymptotic theory of discrete Laurent orthogonal polynomials with varying recurrence coefficients (with J. Coussement), J. Phys. A: Math. Gen. 38 (2005), 3337-3366
• Generalizations of orthogonal polynomials (with A. Bultheel, A. Cuyt, M. Van Barel, B. Verdonk), J. Comput. Appl. Math. 179 (2005), 57-95.
• An extension of the Toda lattice: a direct and inverse spectral transform connected with orthogonal rational functions, (with J. Coussement), Inverse Problems 20 (2004), 297-318.
• Multiple little q-Jacobi polynomials (with K. Postelmans), J. Comput. Appl. Math. 178 (2005), 361-375.
• Gauss quadrature for multiple orthogonal polynomials (with J. Coussement), J. Comput. Appl. Math. 178 (2005), 131-145.
• Quadratic Hermite-Padé approximation to the exponential function: a Riemann-Hilbert approach (with A.B.J. Kuijlaars and F. Wielonsky), Constr. Approx. 21 (2005), 351-412.
• Asymptotique des approximants de Hermite-Padé quadratiques de la fonction exponentielle et problèmes de Riemann-Hilbert (with A. Kuijlaars, H. Stahl and F. Wielonsky), C. R. Acad. Sci. Paris, Ser. I 336 (2003), 893-896.
• Multiple Wilson and Jacobi-Piñeiro polynomials (with B. Beckermann and J. Coussement), J. Approx. Theory 132 (2005), 155-181.
• Scalar and matrix Riemann-Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight (with A. I. Aptekarev), J. Approx. Theory 129 (2004), 129-166.
• Analysis of non-linear recurrence relations for the recurrence coefficients of generalized Charlier polynomials (with M. Foupouagnigni), J. Nonlinear Math. Phys. 10 Supplement 2 (2003), 231-237.
• Difference equations for multiple Charlier and Meixner polynomials in New Progress in Difference Equations (S. Elaydi et al., eds.), Taylor & Francis, London, 2003, pp. 547-555.
• Szegö quadrature and frequency analysis (with L. Daruis, O. Njåstad), ETNA 19 (2005), 48-57.
• Para-orthogonal polynomials in frequency analysis (with L. Daruis, O. Njåstad), Rocky Mountain J. Math. 33 No. 2 (2003), 629-645.
• Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials (with J. Coussement and A.B.J. Kuijlaars), Inverse Problems 18 (2002), 923-942.
• Blumenthal's theorem for Laurent orthogonal polynomials (with A. Sri Ranga), J. Approx. Theory 117 (2002), 255-278.
• The Riemann-Hilbert approach to strong asymptotics for orthogonal polynomials on [-1,1] (with A.B.J. Kuijlaars, K.T-R McLaughlin, and M. Vanlessen), Adv. Math. 188 (2004), 337-398.
• Strong asymptotics for relativistic Hermite polynomials (with W. Gawronski), Rocky Mountain J. Math. 33 No. 2 (2003), 489-524.
• Some discrete multiple orthogonal polynomials (with J. Arvesú and J. Coussement), J. Comput. Appl. Math.153 (2003), 19-45.
• Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind (with E. Coussement), J. Comput. Appl. Math. 153 (2003), 141-149.
• Multiple orthogonal polynomials associated with the modified Bessel functions of the first kind (with E. Coussement), Construct. Approx. 19 (2003), 237-263.
• Multiple orthogonal polynomials for classical weights (with A.I. Aptekarev and A. Branquinho), Trans. Amer. Math. Soc. 355 (2003), 3887-3914.
• Riemann-Hilbert problems for multiple orthogonal polynomials (with J.S. Geronimo and A.B.J. Kuijlaars), in  Special Functions 2000: Current Perspectives and Future Directions (J. Bustoz et al., eds.), NATO Science Series II. Mathematics, Physics and Chemistry 30, Kluwer, Dordrecht, 2001, pp. 23-59.
• Some classical multiple orthogonal polynomials (with E. Coussement), J. Comput. Appl. Math. 127 (2001), 317-347
• Little q-Legendre polynomials and irrationality of certain Lambert series, The Ramanujan Journal 5 (2001), 295-310.
• Entropic integrals of hypersperical harmonics and spatial entropy of D-dimensional central potentials, (with R. J. Yáñez, R. González-Férez and J. S. Dehesa), J. Math. Phys. 40  (1999), 5675-5686.
• Functionals of Gegenbauer polynomials and D-dimensional hydrogenic momentum expectation values, (with R. J. Yáñez, R. González-Férez and J. S. Dehesa), J. Math. Phys. 41 (2000), 6600-6613.
• Information entropy of Gegenbauer polynomials, (with V. S. Buyarov, P. López-Artés, A. Martínez-Finkelshtein), J. Phys. A, Math. Gen. 33 (2000), 6549-6560.
• Nonsymmetric linear difference equations for multiple orthogonal polynomials, proceedings of SIDEIII (Symmetry and Integrability of Difference Equations), CRM Proceedings and Lecture Notes 25, Amer. Math. Soc., 2000, pp. 391-405.
• Lamé differential equations and electrostatics, (with Dimitar K. Dimitrov), Proc. Amer. Math. Soc. 128 (2000), 3621-3628 (see also the erratum)
• Zero distribution of orthogonal polynomials with asymptotically periodic varying recurrence coefficients, proceedings of Self-Similar Systems, Dubna, Russia, 1998, pp. 392-402.
• Multiple orthogonal polynomials, irrationality and transcendence, in Continued Fractions: from analytic number theory to constructive approximation, Contemporary Mathematics 236, Amer. Math. Soc., 1999, pp. 325-342
• Spectral representation of certain finite birth and death processes, (with P. R. Parthasarathy and R. B. Lenin), The Math. Scientist 24 (1999), 105-112
• Multiple orthogonal polynomials associated with Macdonald functions, (with S.B. Yakubovich), Integral Transforms and Special Functions 9 (2000), 229-244
• Asymptotics for polynomials satisfying a certain twin limit periodic recurrence relation, (with E.X.L. de Andrade and A. Sri Ranga), Methods and Applications of Analysis 6 (1999), 535-548
• The asymptotic zero distribution of orthogonal polynomials with varying recurrence coefficients (with A. B .J. Kuijlaars), J. Approx. Theory 99 (1999), 167-197
• A birth and death process related to the Rogers-Ramanujan continued fraction (with P. R. Parthasarathy, R. B. Lenin and W. Schoutens), J. Math. Anal. Appl. 224 (1998), 297-315
• Asymptotic behavior of the continued fraction coefficients of a class of Stieltjes transforms including the Binet function (with W. B. Jones), Orthogonal Functions, Moment Theory and Continued Fractions (W.B. Jones, A. Sri Ranga, eds.), Marcel Dekker, 1998, pp. 257-274
• Extremal polynomials on discrete sets (with A. B. J. Kuijlaars), Proc. London Math. Soc. (3) 79 (1999), 191-221
• Approximation theory and analytic number theory, Special Functions and Differential Equations (K. Srinivasa Rao et al., eds.), Allied Publishers, New Delhi, 1998, pp. 336-355.
• Perturbation of orthogonal polynomials on an arc of the unit circle, II, (with L. Golinskii, P. Nevai and F. Pinter), J. Approx. Theory 96 (1999), 1-33.
• A contact problem in elasticity related to weighted polynomials on the real line (with A.B.J. Kuijlaars), Rend. Circ. Mat. Palermo, serie II, 52 (supplemento), volume II (1998), 575-587
• A problem of Totik on fast decreasing polynomials (with A.B.J. Kuijlaars), Constr. Approx. 14 (1998), 97-112
• A wavelet based estimator for the parameter of self-similarity of fractional Brownian motion (with Lieve Delbeke)
• A wavelet based estimator for the parameter of self-similarity of fractional Brownian motion (with Lieve Delbeke), Aportaciones Matematicas  (a short version of the previous paper)
• Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials(with J.S. Dehesa and R.J. Yanez), Methods Appl. Anal. 4 (1997), 91-110
• Compact Jacobi matrices: from Stieltjes to Krein and M(a,b), Ann. Fac. Sci. Toulouse, numéro special Stieltjes (1996), 195-215
• Perturbation of orthogonal polynomials on an arc of the unit circle (with L. Golinskii and P. Nevai), J. Approx. Theory 83 (1995), 392-422
• Upward extension of the Jacobi matrix for orthogonal polynomials (with A. Ronveaux), J. Approx. Theory 86 (1996), 335-357
• Orthogonal polynomials in the complex plane and on the real line, Special Functions, q-Series and Related Topics (M.E.H. Ismail et al., eds.), Fields Institute Communications 14 (1997), 211-245.
• The impact of Stieltjes' work on continued fractions and orthogonal polynomials: additional remarks (with G. Valent), J. Comput. Appl. Math. 65 (1995), 419-447.
• Orthogonal matrix polynomials and applications (with A. Sinap), J. Comput. Appl. Math. 66 (1996), 27-52
• Entropy of orthogonal polynomials with Freud weights and information entropies of the harmonic oscillator (with J.S. Dehesa and R.J. Yanez) J. Math. Phys. 36 (1995), 4106-4118.
• Orthogonal polynomials and Laurent polynomials related to the Hahn-Exton q-Bessel function (with H.T. Koelink), Constr. Approx. 11 (1995), 477-512.
• Asymptotics for orthogonal polynomials and three-term recurrences, in "Orthogonal Polynomials: Theory and Practice" (Paul Nevai, ed.), NATO ASI Series C: Mathematical and Physical Sciences, vol. 294, Kluwer, Dordrecht, 1990, pp. 435-462.
• and some more of which I don't have electronic versions.

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