Another type of forward and backward shift relations for orthogonal polynomials in the Askey scheme

DOI10.1016/J.JMAA.2024.128591zbMATH Open1548.33013MaRDI QIDQ6607353

Satoru Odake

Publication date: 18 September 2024

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

zbMATH Keywords

orthogonal polynomialsAskey schemefactorization of the Hamiltonianforward and backward shift relations

Mathematics Subject Classification ID

Exactly and quasi-solvable systems arising in quantum theory (81U15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Difference operators (39A70) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Special quantum systems, such as solvable systems (81Q80)

Cites Work

• Title not available (Why is that?)
• Symmetry techniques for q-series: Askey-Wilson polynomials
• Integral representations for Jacobi polynomials and some applications
• Orthogonal polynomials from Hermitian matrices. II
• Unified theory of annihilation-creation operators for solvable (“discrete”) quantum mechanics
• Exactly Solvable 'Discrete' Quantum Mechanics; Shape Invariance, Heisenberg Solutions, Annihilation-Creation Operators and Coherent States
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Orthogonal polynomials from Hermitian matrices
• Discrete quantum mechanics
• New finite-type multi-indexed orthogonal polynomials obtained from state-adding Darboux transformations
• ‘Diophantine’ and factorization properties of finite orthogonal polynomials in the Askey scheme

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