Expansions of the solutions of the confluent Heun equation in terms of the incomplete Beta and the Appell generalized hypergeometric functions

DOI10.1080/10652469.2015.1019490zbMath1326.33032arXiv1505.02178OpenAlexW2070204410MaRDI QIDQ5246281

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Publication date: 20 April 2015

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.02178

zbMATH Keywords

recurrence relationsspecial functionsseries expansionslinear ordinary differential equationconfluent Heun equation

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other functions coming from differential, difference and integral equations (33E30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (13)

Expansions of the solutions of the general Heun equation governed by two-term recurrence relations for coefficients ⋮ Appell hypergeometric expansions of the solutions of the general Heun equation ⋮ The Lambert-\(W\) step-potential -- an exactly solvable confluent hypergeometric potential ⋮ A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations ⋮ Solutions of the bi-confluent Heun equation in terms of the Hermite functions ⋮ Schrödinger potentials solvable in terms of the general Heun functions ⋮ On the derivatives of the Heun functions ⋮ Elementary hypergeometric functions, Heun functions, and moments of MKZ operators ⋮ Generation and removal of apparent singularities in linear ordinary differential equations with polynomial coefficients ⋮ Orthogonal polynomials, asymptotics, and Heun equations ⋮ Heun functions related to entropies ⋮ Generalized-hypergeometric solutions of the biconfluent Heun equation ⋮ SERIES SOLUTIONS OF CONFLUENT HEUN EQUATIONS IN TERMS OF INCOMPLETE GAMMA-FUNCTIONS

Uses Software

• DLMF

Cites Work

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