Contiguity Relations of Aomoto–Gel’fand Hypergeometric Functions and Applications to Appell’s System ${}_3 F_2 $ and Goursat’s System ${}_3 F_2 $

DOI10.1137/0522052zbMath0805.33003OpenAlexW2059782385MaRDI QIDQ3978303

Publication date: 25 June 1992

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0522052

zbMATH Keywords

Aomoto-Gel'fand hypergeometric functions Appell-Lauricella hypermetric function $F_ D$Appell's hypergeometric function $F_ 3$Goursat's hypergeometric function $_ 3F_ 2$

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Generalized hypergeometric series, ({}_pF_q) (33C20) Other special functions (33E99)

Related Items (8)

On contiguity relations of the confluent hypergeometric systems ⋮ Hypergeometric representations and differential-difference relations for some kernels appearing in mathematical physics ⋮ The hypergeometric systems and the contiguity operators on the Grassmannian manifold and on the associated configuration space ⋮ Contiguity Relations for Generalized Hypergeometric Functions ⋮ Incomplete hypergeometric systems associated to 1-simplex $\times$ $(n-1)$-simplex ⋮ The period map of a 4-parameter family of K3 surfaces and the Aomoto- Gel'fand hypergeometric function of type (3,6) ⋮ Pfaffian Equations and Contiguity Relations of the Hypergeometric Function of Type (k+1, k+n+2) and Their Applications ⋮ Contiguity relations of generalized confluent hypergeometric functions

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