Harmonic Analysis and Expansion Formulas for Two-Variable Hypergeometric Functions

DOI10.1002/sapm198266169zbMath0493.33004OpenAlexW2575415719MaRDI QIDQ3955658

H. L. Manocha, Willard jun. Miller, Ernest G. Kalnins

Publication date: 1982

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm198266169

zbMATH Keywords

expansion formulasLie-theoretic characterizations of two-variable hypergeometric functions

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (5)

Models of Lie algebra \(sl(2, \mathbb{C})\) and special matrix functions by means of a matrix integral transformation ⋮ Lie algebras of difference-differential operators and Appell functions \(F_ 1\) ⋮ On models of irreducible q- representations of sl(2, c) ⋮ Lie algebras of matrix difference differential operators and special matrix functions ⋮ The Lie theory of hypergeometric functions arising from \((1-\sum^ k_{i=1}z_ i)^ \lambda(1-\sum^ r_{j=k+1}z_ j)^ -\lambda\)

Cites Work

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• Group-theoretic origin of certain generating functions
• The Lie Theory of Two-Variable Hypergeometric Functions
• Lie theory and separation of variables. 11. The EPD equation
• The Factorization Method
• Hypergeometrische Funktionen zweier Veränderlichen

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