Generalized confluent hypergeometric solutions of the Heun confluent equation

DOI10.1016/j.amc.2018.06.053zbMath1427.33014arXiv1807.07426OpenAlexW2884596952WikidataQ129501954 ScholiaQ129501954MaRDI QIDQ2335788

T. A. Ishkhanyan, A. M. Ishkhanyan

Publication date: 15 November 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.07426

zbMATH Keywords

recurrence relationconfluent hypergeometric functionBessel functionconfluent Heun equation

Mathematics Subject Classification ID

Other functions coming from differential, difference and integral equations (33E30) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (5)

A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations ⋮ About families of orthogonal polynomials satisfying Heun's differential equation ⋮ Generalized-hypergeometric solutions of the general Fuchsian linear ODE having five regular singularities ⋮ 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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