Multi-indexed Meixner and littleq-Jacobi (Laguerre) polynomials

DOI10.1088/1751-8121/aa6496zbMath1366.81276arXiv1610.09854OpenAlexW2541226959MaRDI QIDQ5267841

Ryu Sasaki, Satoru Odake

Publication date: 13 June 2017

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09854

zbMATH Keywords

exceptional orthogonal polynomialsmulti-indexed orthogonal polynomialsdiscrete QM with shiftexactly solvable QM

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) 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) Exactly and quasi-solvable systems arising in quantum theory (81U15) Discrete version of topics in analysis (39A12)

Related Items (6)

Discrete orthogonality relations for the multi-indexed orthogonal polynomials in discrete quantum mechanics with pure imaginary shifts ⋮ Exceptional Jacobi 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 ⋮ Simplified expressions of the multi-indexed Laguerre and Jacobi polynomials ⋮ Wronskian/Casoratian identities and their application to quantum mechanical systems

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