A new recurrence formula for generic exceptional orthogonal polynomials

DOI10.1063/1.4914334zbMath1318.33024arXiv1410.0183OpenAlexW2094315384MaRDI QIDQ5245238

Satoshi Tsujimoto, Hiroshi Miki

Publication date: 7 April 2015

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

Full work available at URL: https://arxiv.org/abs/1410.0183

zbMATH Keywords

recurrence relationDarboux transformationexceptional orthogonal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Other special orthogonal polynomials and functions (33C47)

Related Items (17)

Classical and quantum walks on paths associated with exceptional Krawtchouk polynomials ⋮ Recurrence relations for Wronskian Hermite polynomials ⋮ A Bochner type characterization theorem for exceptional orthogonal polynomials ⋮ The single-indexed exceptional Krawtchouk polynomials ⋮ Exceptional Gegenbauer polynomials via isospectral deformation ⋮ Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems ⋮ Bispectrality of Meixner type 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 ⋮ The algebra of recurrence relations for exceptional Laguerre and Jacobi polynomials ⋮ Exceptional Legendre polynomials and confluent Darboux Transformations ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. III ⋮ Exceptional Hahn and Jacobi orthogonal polynomials ⋮ Recurrence relations for exceptional Hermite polynomials ⋮ Asymptotics for recurrence coefficients of X₁-Jacobi exceptional polynomials and Christoffel function ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. IV. Closure relations and creation/annihilation operators ⋮ Recurrence relations of the multi-indexed orthogonal polynomials. II

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