On an orthogonal polynomial sequence and its recurrence coefficients

DOI10.1007/S11005-024-01801-3MaRDI QIDQ6492279

D. Mbouna

Publication date: 24 April 2024

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

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)

Cites Work

• Unnamed Item
• A unified construction of all the hypergeometric and basic hypergeometric families of orthogonal polynomial sequences
• A characterization of continuous \(q\)-Jacobi, Chebyshev of the first kind and Al-Salam chihara polynomials
• On the functional equation for classical orthogonal polynomials on lattices
• Solution of an open problem about two families of orthogonal polynomials
• Characterization theorem for classical orthogonal polynomials on non-uniform lattices: the functional approach
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Charting the 𝑞-Askey scheme
• On discrete coherent pairs of measures
• On classical orthogonal polynomials related to Hahn's operator
• Recurrence equations and their classical orthogonal polynomial solutions on a quadratic or a q-quadratic lattice
• Proof of two conjectures on Askey-Wilson polynomials

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