‘Diophantine’ and factorization properties of finite orthogonal polynomials in the Askey scheme

DOI10.1080/10236198.2024.2336476zbMATH Open1545.33017MaRDI QIDQ6581930

Ryu Sasaki, Satoru Odake

Publication date: 1 August 2024

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Mathematics Subject Classification ID

Polynomials in real and complex fields: factorization (12D05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Cites Work

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• Additional recursion relations, factorizations, and diophantine properties associated with the polynomials of the Askey scheme
• A modification of Crum's method
• Multi-indexed (q-)Racah polynomials
• Dual Christoffel Transformations
• Exceptional orthogonal polynomials, exactly solvable potentials and supersymmetry
• Hypergeometric origins of Diophantine properties associated with the Askey scheme
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Orthogonal polynomials from Hermitian matrices
• ASSOCIATED STURM-LIOUVILLE SYSTEMS
• Discrete quantum mechanics
• The single-indexed exceptional Krawtchouk polynomials

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