Two-dimensional contiguous relations for the linearization coefficients of classical orthogonal polynomials

DOI10.1080/10652469.2023.2180502OpenAlexW4322753986MaRDI QIDQ6164298

Howard S. Cohl, Lisa Ritter

Publication date: 27 July 2023

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2023.2180502

zbMATH Keywords

linearization coefficientscontiguous relationsgeneralized hypergeometric orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Generalized hypergeometric series, ({}_pF_q) (33C20)

Cites Work

• On linearization and connection coefficients for generalized Hermite polynomials
• Report from the open problems session at OPSFA13
• Generalized Burchnall-type identities for orthogonal polynomials and expansions
• Separation of variables and combinatorics of linearization coefficients of orthogonal polynomials
• Positivity and the convolution structure for Jacobi series
• Moments of orthogonal polynomials and combinatorics
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• A Non-Negative Representation of the Linearization Coefficients of the Product of Jacobi Polynomials
• Positivity Proofs for Linearization and Connection Coefficients of Orthogonal Polynomials Satisfying an Addition Formula
• On the computation of the nijboer-zernike aberration integrals at arbitrary defocus
• Combinatorics of Orthogonal Polynomials and their Moments
• Dual Addition Formulas Associated with Dual Product Formulas
• A Note on the Polynomials of Hermite and Laguerre
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