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138 papers • 3,000 citations • Sorted by year • Download PDF (PDF by citations)
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1A Golub-Welsch version for simultaneous Gaussian quadrature1.61Citations (PDF)
2Orthogonal polynomials, Toda lattices and Painlevé equations2.811Citations (PDF)
3Chebyshev polynomials in the 16th century0.64Citations (PDF)
4Christoffel functions for multiple orthogonal polynomials0.62Citations (PDF)
5Special issue OPSFA15: orthogonal polynomials, special functions and applications1.40Citations (PDF)
6Three-fold symmetric Hahn-classical multiple orthogonal polynomials
Analysis and Applications, 2020, 18, 271-332
2.911Citations (PDF)
7Laguerre–Angelesco multiple orthogonal polynomials on an <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e324" altimg="si72.svg"><mml:mi>r</mml:mi></mml:math>-star0.66Citations (PDF)
8Multiple Askey–Wilson polynomials and related basic hypergeometric multiple orthogonal polynomials0.90Citations (PDF)
9Preliminaries
2020, , 1-15
0Citations (PDF)
10General Orthogonal Polynomials
2020, , 16-50
0Citations (PDF)
11Jacobi and Related Polynomials
2020, , 51-99
0Citations (PDF)
12Recursively Defined Polynomials
2020, , 100-118
0Citations (PDF)
13Wilson and Related Polynomials
2020, , 119-128
0Citations (PDF)
14Discrete Orthogonal Polynomials
2020, , 129-156
0Citations (PDF)
15Some q-Orthogonal Polynomials
2020, , 157-177
0Citations (PDF)
16The Askey–Wilson Family of Polynomials
2020, , 178-198
0Citations (PDF)
17Orthogonal Polynomials on the Unit Circle
2020, , 199-241
1Citations (PDF)
18Zeros of Orthogonal Polynomials
2020, , 242-268
0Citations (PDF)
19The Moment Problem
2020, , 269-306
1Citations (PDF)
20Matrix-Valued Orthogonal Polynomials and Differential Equations
2020, , 307-333
0Citations (PDF)
21Some Families of Matrix-Valued Jacobi Orthogonal Polynomials
2020, , 334-356
0Citations (PDF)
22Index
2020, , 385-388
0Citations (PDF)
23Zero Distribution of Orthogonal Polynomials on a q-Lattice
Constructive Approximation, 2020, 54, 117-144
0.93Citations (PDF)
24Orthogonal and Multiple Orthogonal Polynomials, Random Matrices, and Painlevé Equations0.09Citations (PDF)
25Encyclopedia of Special Functions: The Askey-Bateman Project
2020, ,
8Citations (PDF)
26Jacobi–Angelesco Multiple Orthogonal Polynomials on an r-Star
Constructive Approximation, 2019, 51, 353-381
0.96Citations (PDF)
27Solution of an Open Problem about Two Families of Orthogonal Polynomials0.35Citations (PDF)
28Метод задачи Римана-Гильберта в применении к системе Никишина
Matematicheskii Sbornik, 2018, 209, 106-138
0.416Citations (PDF)
29Mehler-Heine asymptotics for multiple orthogonal polynomials0.611Citations (PDF)
30Alpert Multiwavelets and Legendre--Angelesco Multiple Orthogonal Polynomials1.66Citations (PDF)
31References
2017, , 167-176
0Citations (PDF)
32Majorization results for zeros of orthogonal polynomials0.60Citations (PDF)
33Hermite‐Padé Approximants for a Pair of Cauchy Transforms with Overlapping Symmetric Supports3.212Citations (PDF)
34Discrete integrable systems generated by Hermite-Padé approximants
Nonlinearity, 2016, 29, 1487-1506
1.422Citations (PDF)
35Unique positive solution for an alternative discrete Painlevé I equation1.214Citations (PDF)
36Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials0.615Citations (PDF)
37WHAT IS...A Multiple Orthogonal Polynomial?0.219Citations (PDF)
38Multidimensional Toda Lattices: Continuous and Discrete Time0.39Citations (PDF)
39Multiple orthogonal polynomials associated with an exponential cubic weight0.618Citations (PDF)
40A tribute to Dick Askey0.62Citations (PDF)
41Orthogonal polynomials for Minkowski’s question mark function2.43Citations (PDF)
42Hyperelliptic uniformization of algebraic curves of the third order2.412Citations (PDF)
43Computing recurrence coefficients of multiple orthogonal polynomials
Numerical Algorithms, 2015, 70, 519-543
1.613Citations (PDF)
44A family of nonlinear difference equations: Existence, uniqueness, and asymptotic behavior of positive solutions0.614Citations (PDF)
45Variations of Stieltjes–Wigert and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-Laguerre polynomials and their recurrence coefficients0.611Citations (PDF)
46Zero distribution of polynomials satisfying a differential-difference equation
Analysis and Applications, 2014, 12, 635-666
2.97Citations (PDF)
47Gauss–type quadrature
2014, , 35-49
0Citations (PDF)
48Recurrence coefficients of generalized Charlier polynomials and the fifth Painlevé equation0.622Citations (PDF)
49OPSFA’110.60Citations (PDF)
50Asymptotics for the ratio and the zeros of multiple Charlier polynomials0.60Citations (PDF)
51Ladder operators and differential equations for multiple orthogonal polynomials2.310Citations (PDF)
52The generalized Krawtchouk polynomials and the fifth Painlevé equation1.28Citations (PDF)
53The recurrence coefficients of semi-classical Laguerre polynomials and the fourth Painlevé equation2.352Citations (PDF)
54Asymptotics for the ratio and the zeros of multiple Charlier polynomials0.65Citations (PDF)
55Interlacing properties of zeros of multiple orthogonal polynomials1.124Citations (PDF)
56Recurrence coefficients of generalized Meixner polynomials and Painlevé equations2.325Citations (PDF)
57Nearest neighbor recurrence relations for multiple orthogonal polynomials
Journal of Approximation Theory, 2011, 163, 1427-1448
0.670Citations (PDF)
58Orthogonal polynomials, special functions, and applications0.61Citations (PDF)
59Orthogonal Polynomials on a Bi-lattice
Constructive Approximation, 2011, 36, 215-242
0.923Citations (PDF)
60Mellin transforms for multiple Jacobi–Piñeiro polynomials and a <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi>q</mml:mi></mml:math>-analogue0.67Citations (PDF)
61<i>q</i>-Discrete Painlevé equations for recurrence coefficients of modified<i>q</i>-Freud orthogonal polynomials1.221Citations (PDF)
62Hermite-Padé Rational Approximation to Irrational Numbers0.53Citations (PDF)
63Discrete Painlevé equations for recurrence coefficients of semiclassical Laguerre polynomials0.639Citations (PDF)
64Leonhard Euler and a $q$-analogue of the logarithm0.69Citations (PDF)
65Irrationality proof of a q-extension of ζ(2) using little q-Jacobi polynomials
Acta Arithmetica, 2009, 138, 165-178
0.47Citations (PDF)
66Asymptotics of Hermite-Pade Rational Approximants for Two Analytic Functions with Separated Pairs of Branch Points (Case of Genus 0)0.125Citations (PDF)
67Discrete Painlevé equations for recurrence coefficients of orthogonal polynomials
2007, ,
45Citations (PDF)
68Type II Hermite–Padé approximation to the exponential function2.412Citations (PDF)
69Irrationality of <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd"
Journal of Number Theory, 2007, 126, 119-154
0.514Citations (PDF)
70Rakhmanov's theorem for orthogonal matrix polynomials on the unit circle0.621Citations (PDF)
71Multiple Orthogonal Polynomials on the Unit Circle
Constructive Approximation, 2007, 28, 173-197
0.96Citations (PDF)
72Preface2.40Citations (PDF)
73Multiple Wilson and Jacobi–Piñeiro polynomials0.629Citations (PDF)
74Multiple little <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" 2.418Citations (PDF)
75Gaussian quadrature for multiple orthogonal polynomials2.431Citations (PDF)
76Scalar and matrix Riemann–Hilbert approach to the strong asymptotics of Padé approximants and complex orthogonal polynomials with varying weight0.654Citations (PDF)
77Quadratic Hermite–Padé Approximation to the Exponential Function: A Riemann–Hilbert Approach
Constructive Approximation, 2004, 21, 351-412
0.934Citations (PDF)
78WKB and Turning Point Theory for Second-order Difference Equations
2004, , 101-138
8Citations (PDF)
79Asymptotics of multiple orthogonal polynomials associated with the modified Bessel functions of the first kind2.423Citations (PDF)
80Some discrete multiple orthogonal polynomials2.485Citations (PDF)
81Asymptotique des approximants de Hermite–Padé quadratiques de la fonction exponentielle et problèmes de Riemann–Hilbert
Comptes Rendus Mathematique, 2003, 336, 893-896
0.513Citations (PDF)
82Erratum to “Lamé differential equations and electrostatics”0.62Citations (PDF)
83Para-Orthogonal Polynomials in Frequency Analysis0.515Citations (PDF)
84Analysis of Non-Linear Recurrence Relations for the Recurrence Coefficients of Generalized Charlier Polynomials1.220Citations (PDF)
85Multiple orthogonal polynomials for classical weights0.9134Citations (PDF)
86Strong Asymptotics for Relativistic Hermite Polynomials0.55Citations (PDF)
87Blumenthal's Theorem for Laurent Orthogonal Polynomials0.614Citations (PDF)
88Some classical multiple orthogonal polynomials2.4118Citations (PDF)
89Some properties of multiple orthogonal polynomials associated with Macdonald functions2.419Citations (PDF)
90Comments2.41Citations (PDF)
91Title is missing!
Ramanujan Journal, 2001, 5, 295-310
0.627Citations (PDF)
92Lamé differential equations and electrostatics0.625Citations (PDF)
93Multiple orthogonal polynomials associated with macdonald functions1.453Citations (PDF)
94Perturbation of Orthogonal Polynomials on an Arc of the Unit Circle, II0.628Citations (PDF)
95The Asymptotic Zero Distribution of Orthogonal Polynomials with Varying Recurrence Coefficients0.6113Citations (PDF)
96A Birth and Death Process Related to the Rogers–Ramanujan Continued Fraction1.117Citations (PDF)
97Tau-Function Constructions of the Recurrence Coefficients of Orthogonal Polynomials1.012Citations (PDF)
98Information entropy of classical orthogonal polynomials and their application to the harmonic oscillator and Coulomb potentials0.355Citations (PDF)
99Orthogonal matrix polynomials and applications2.490Citations (PDF)
100Upward Extension of the Jacobi Matrix for Orthogonal Polynomials0.633Citations (PDF)
101Compact Jacobi matrices : from Stieltjes to Krein and $M(a, b)$0.313Citations (PDF)
102Criterion for the resolvent set of nonsymmetric tridiagonal operators0.630Citations (PDF)
103Weak convergence of orthogonal polynomials0.713Citations (PDF)
104Relative asymptotics for polynomials orthogonal with respect to a discrete Sobolev inner product
Constructive Approximation, 1995, 11, 107-137
0.977Citations (PDF)
105Orthogonal polynomials and laurent polynomials related to the Hahn-Extonq-Bessel function
Constructive Approximation, 1995, 11, 477-512
0.916Citations (PDF)
106The impact of Stieltjes' work on continued fractions and orthogonal polynomials: additional material2.448Citations (PDF)
107Orthogonal matrix polynomials and higher-order recurrence relations0.9138Citations (PDF)
108Remarks on the (C, -1)-Summability of the Distribution of Zeros of Orthogonal Polynomials0.60Citations (PDF)
109Polynomial interpolation and Gaussian quadrature for matrix-valued functions0.964Citations (PDF)
110Christoffel functions and Turán determinants on several intervals2.414Citations (PDF)
111Open problems2.46Citations (PDF)
112Quadrature formulas based on rational interpolation
Mathematics of Computation, 1993, 61, 765-783
2.430Citations (PDF)
113Quadrature Formulas Based on Rational Interpolation2.416Citations (PDF)
114Compact perturbations of orthogonal polynomials
Pacific Journal of Mathematics, 1992, 153, 163-184
0.525Citations (PDF)
115Asymptotic Behaviour for Wall Polynomials and the Addition Formula for Little q-Legendre Polynomials1.611Citations (PDF)
116The supports of measures associated with orthogonal polynomials and the spectra of the related self-adjoint operators0.536Citations (PDF)
117Orthogonal polynomials, associated polynomials and functions of the second kind2.470Citations (PDF)
118Approximating the weight function for orthogonal polynomials on several intervals0.629Citations (PDF)
119Relative asymptotics for orthogonal polynomials with unbounded recurrence coefficients0.618Citations (PDF)
120Pollaczek polynomials and summability methods1.16Citations (PDF)
121Norm behavior and zero distribution for orthogonal polynomials with nonsymmetric weights
Constructive Approximation, 1989, 5, 329-345
0.911Citations (PDF)
122Sieved orthogonal polynomials and discrete measures with jumps dense in an interval0.636Citations (PDF)
123Sieved Orthogonal Polynomials and Discrete Measures with Jumps Dense in an Interval0.67Citations (PDF)
124Asymptotics for orthogonal polynomials with regularly varying recurrence coefficients0.527Citations (PDF)
125On the asymptotic distribution of eigenvalues of banded matrices
Constructive Approximation, 1988, 4, 403-417
0.919Citations (PDF)
126Asymptotic properties of orthogonal polynomials from their recurrence formula, II0.620Citations (PDF)
127Asymptotics for orthogonal polynomials on and off the essential spectrum0.621Citations (PDF)
128Eigenvalues of Toeplitz matrices associated with orthogonal polynomials0.64Citations (PDF)
129The ratio of q-like orthogonal polynomials1.115Citations (PDF)
130Orthogonal polynomials with asymptotically periodic recurrence coefficients0.6102Citations (PDF)
131An Asymptotic Problem (Pierre Barrucand)
SIAM Review, 1986, 28, 234-238
3.50Citations (PDF)
132Products of 2 × 2 stochastic matrices with random entries
Journal of Applied Probability, 1986, 23, 1019-1024
0.81Citations (PDF)
133Asymptotic properties of orthogonal polynomials from their recurrence formula, I0.624Citations (PDF)
134Some results on the asymptotic distribution of the zeros of orthogonal polynomials2.47Citations (PDF)
135Probabilistic proofs of asymptotic formulas for some classical polynomials0.919Citations (PDF)
136Weighted Zero Distribution for Polynomials Orthogonal on an Infinite Interval1.617Citations (PDF)
137Discrete Orthogonal Polynomials with Hypergeometric Weights and Painlevé VI0.33Citations (PDF)
138Multiple Hermite polynomials and simultaneous Gaussian quadrature0.03Citations (PDF)