Lie algebras of difference-differential operators and Appell functions \(F_ 1\)

DOI10.1016/0022-247X(89)90305-3zbMath0674.33010OpenAlexW2076052674MaRDI QIDQ1121413

H. L. Manocha

Publication date: 1989

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(89)90305-3

zbMATH Keywords

Mellin transformAppell functiondifference-differential operators

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)

The Lie algebra \(\mathcal{K}_5\): three variable models and their connection with special functions ⋮ Unnamed Item ⋮ Lie algebras of matrix difference differential operators and special matrix functions ⋮ The Lie theory of hypergeometric functions arising from \((1-\sum^ k_{i=1}z_ i)^ \lambda(1-\sum^ r_{j=k+1}z_ j)^ -\lambda\) ⋮ On models of irreducible p ,q -representations of gl (2) and p ,q -Mellin integral transformation

Cites Work

• Unnamed Item
• Group-theoretic origin of certain generating functions
• 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 $

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