Series solutions of Heun-type equation in terms of orthogonal polynomials

DOI10.1063/1.5045341zbMath1404.34017arXiv1806.07960OpenAlexW2809621841MaRDI QIDQ4561720

A. D. Alhaidari

Publication date: 12 December 2018

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

Full work available at URL: https://arxiv.org/abs/1806.07960

zbMATH Keywords

Jacobi polynomialsolution as seriesnine-parameter Heun-type differential equation

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) General spectral theory of ordinary differential operators (34L05) Linear ordinary differential equations and systems (34A30)

Related Items (10)

Progressive approximation of bound states by finite series of square-integrable functions ⋮ Solution of an open problem about two families of orthogonal polynomials ⋮ Series solution of a ten-parameter second-order differential equation with three regular singularities and one irregular singularity ⋮ Open problem in orthogonal polynomials ⋮ Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi‐classical Laguerre polynomials and their Hankel determinants ⋮ Erratum: “Series solutions of Heun-type equation in terms of orthogonal polynomials” [J. Math. Phys. 59, 113507 (2018)] ⋮ About families of orthogonal polynomials satisfying Heun's differential equation ⋮ Deformed Morse-like potential ⋮ Solutions of a Bessel-type differential equation using the tridiagonal representation approach ⋮ Solving Schrödinger equation by mapping it into a Heun-type equation with known solutions

Cites Work

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