The Exceptional (X ) (q)-Racah Polynomials

DOI10.1143/PTP.125.851zbMath1223.33035arXiv1102.0812OpenAlexW3103386832MaRDI QIDQ3087545

Satoru Odake, Ryu Sasaki

Publication date: 16 August 2011

Published in: Progress of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.0812

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (16)

Exactly solvable discrete time birth and death processes ⋮ Quasi-Hermitian Hamiltonians associated with exceptional orthogonal polynomials ⋮ Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems ⋮ Zeros of the exceptional Laguerre and Jacobi polynomials ⋮ Exceptional Charlier and Hermite orthogonal polynomials ⋮ Recurrence relations of the multi-indexed orthogonal polynomials V: Racah and q -Racah types ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. VI. Meixner–Pollaczek and continuous Hahn types ⋮ Recurrence relations of the multi-indexed orthogonal polynomials ⋮ Equivalences of the multi-indexed orthogonal polynomials ⋮ Exceptional Meixner and Laguerre orthogonal polynomials ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. III ⋮ Generalized quantum nonlinear oscillators: Exact solutions and rational extensions ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. II ⋮ Orthogonal polynomials from Hermitian matrices. II ⋮ GENERALIZED RAYLEIGH AND JACOBI PROCESSES AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS

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