Generalized hypergeometric solutions of the Heun equation

DOI10.1134/S0040577920010018zbMath1450.34065arXiv1802.04263MaRDI QIDQ2193665

A. M. Ishkhanyan

Publication date: 20 August 2020

Published in: Theoretical and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.04263

zbMATH Keywords

recurrence relationgeneralized hypergeometric functiongeneral Heun equation

Mathematics Subject Classification ID

Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms (34M35) Classical hypergeometric functions, ({}_2F_1) (33C05) Linear ordinary differential equations and systems in the complex domain (34M03)

Related Items

A note on the generalized-hypergeometric solutions of general and single-confluent Heun equations ⋮ An application of Heun functions in the quantum mechanics of a constrained particle ⋮ Quasinormal modes of Kerr–de Sitter black holes via the Heun function ⋮ Generalized-hypergeometric solutions of the biconfluent Heun equation

Uses Software

• DLMF
• ComputeBelyi

Cites Work

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