Hahn multiple orthogonal polynomials of type I: hypergeometric expressions

DOI10.1016/j.jmaa.2023.127471arXiv2212.11923OpenAlexW4379469999MaRDI QIDQ6115643

Manuel Mañas, Amílcar Branquinho, Juan E. F. Díaz, Ana Foulquié Moreno

Publication date: 10 August 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2212.11923

zbMATH Keywords

generalized hypergeometric functionsmultiple orthogonal polynomialsAskey schemeKampé de Feriet hypergeometric functions

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (2)

Positive bidiagonal factorization of tetradiagonal Hessenberg matrices ⋮ Jacobi-Piñeiro Markov chains

Cites Work

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• Multiple orthogonal polynomials of mixed type: Gauss-Borel factorization and the multi-component 2D Toda hierarchy
• Moment matrices and multi-component KP, with applications to random matrix theory
• Higher-order three-term recurrences and asymptotics of multiple orthogonal polynomials
• Multiple orthogonal polynomials of mixed type and non-intersecting Brownian motions
• Multiple Wilson and Jacobi--Piñeiro polynomials
• Some discrete multiple orthogonal polynomials
• The operator moment problem, vector continued fractions and an explicit form of the Favard theorem for vector orthogonal polynomials
• Multiple orthogonal polynomials: Pearson equations and Christoffel formulas
• Matrix biorthogonal polynomials: eigenvalue problems and non-Abelian discrete Painlevé equations. A Riemann-Hilbert problem perspective
• Laguerre-Angelesco multiple orthogonal polynomials on an \(r\)-star
• On the limit behavior of recurrence coefficients for multiple orthogonal polynomials
• WHAT IS...A Multiple Orthogonal Polynomial?
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Multiple orthogonal polynomials for classical weights
• Extensions of Karlsson–Minton summation theorem and some consequences of the first Miller–Paris transformation
• One of the numbers ζ(5), ζ(7), ζ(9), ζ(11) is irrational
• CONVEX DOMAINS WITH NONCOMPACT AUTOMORPHISM GROUPS
• Planar orthogonal polynomials as Type II multiple orthogonal polynomials
• An urn model for the Jacobi-Piñeiro polynomials
• Some classical multiple orthogonal polynomials
• Irrationality of infinitely many values of the zeta function at odd integers.
• Planar orthogonal polynomials as type I multiple orthogonal polynomials

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