Simplified expressions of the multi-indexed Laguerre and Jacobi polynomials

DOI10.3842/SIGMA.2017.020zbMath1371.42033arXiv1612.00927OpenAlexW2560070392MaRDI QIDQ524766

Satoru Odake, Ryu Sasaki

Publication date: 3 May 2017

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.00927

zbMATH Keywords

multi-indexed orthogonal polynomialsdeterminant formulaLaguerre and Jacobi polynomialsWronskian formula

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) Explicit solutions, first integrals of ordinary differential equations (34A05)

Related Items (3)

Exceptional Jacobi polynomials ⋮ Discrete orthogonality relations for multi-indexed Laguerre and Jacobi polynomials ⋮ Generalized coherent states of exceptional Scarf-I potential: Their spatio-temporal and statistical properties

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