Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators

DOI10.1063/1.4966985zbMath1353.42023arXiv1606.02836OpenAlexW2414298072MaRDI QIDQ2836130

Satoru Odake

Publication date: 7 December 2016

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

Full work available at URL: https://arxiv.org/abs/1606.02836

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) Many-body theory; quantum Hall effect (81V70) Groups and algebras in quantum theory and relations with integrable systems (81R12) Numerical aspects of recurrence relations (65Q30)

Related Items (4)

Multiplication operator and average characteristic polynomial associated with 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 ⋮ Asymptotics for recurrence coefficients of X₁-Jacobi exceptional polynomials and Christoffel function

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