Contiguity relations of generalized confluent hypergeometric functions

DOI10.3792/pjaa.69.105zbMath0812.33007OpenAlexW2077429110MaRDI QIDQ1320646

Hironobu Kimura, Yoshishige Haraoka

Publication date: 10 May 1995

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.69.105

zbMATH Keywords

contiguity relationsconfluent hypergeometric systems

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Other hypergeometric functions and integrals in several variables (33C70) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (4)

On contiguity relations of the confluent hypergeometric systems ⋮ Confluence of cycles for hypergeometric functions on 𝑍_{2,𝑛+1} ⋮ On rational de Rham cohomology associated with the generalised confluent hypergeometric functions I, ℙ¹ case ⋮ Unnamed Item

Cites Work

• Unnamed Item
• The generalized confluent hypergeometric functions
• Lie theory and special functions
• ON PARTICULAR SOLUTIONS OF THE GARNIER SYSTEMS AND THE HYPERGEOMETRIC FUNCTIONS OF SEVERAL VARIABLES
• Contiguity Relations of Aomoto–Gel’fand Hypergeometric Functions and Applications to Appell’s System ${}_3 F_2 $ and Goursat’s System ${}_3 F_2 $
• Lie Theory and Generalized Hypergeometric Functions

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