The Lie theory of hypergeometric functions arising from \((1-\sum^ k_{i=1}z_ i)^ \lambda(1-\sum^ r_{j=k+1}z_ j)^ -\lambda\)

DOI10.1016/0022-247X(92)90384-PzbMath0779.33009OpenAlexW1973146875MaRDI QIDQ1206957

S. Singh

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90384-p

zbMATH Keywords

Euler transformation

Mathematics Subject Classification ID

Connections of hypergeometric functions with groups and algebras, and related topics (33C80)

Related Items (1)

Models of Lie algebra \(sl(2, \mathbb{C})\) and special matrix functions by means of a matrix integral transformation

Cites Work

• Group-theoretic origin of certain generating functions
• Lie algebras of difference-differential operators and Appell functions \(F_ 1\)
• Lie theory and special functions
• The Lie Theory of Two-Variable Hypergeometric Functions
• Harmonic Analysis and Expansion Formulas for Two-Variable Hypergeometric Functions
• Lie Theory and the Appell Functions $F_1 $
• Lie Theory and Generalizations of the Hypergeometric Functions
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