Transformation and Reduction Formulas for Two-Variable Hypergeometric Functions on the Sphere S 2

DOI10.1002/sapm1980632155zbMath0452.33020OpenAlexW2604121251MaRDI QIDQ3898774

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

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1002/sapm1980632155

zbMATH Keywords

Horn functionshypergeometric functions of two variableseigenfunctions of Laplace-Beltrami operatorangular momentum operatorseigenfunction of Casimir operator

Mathematics Subject Classification ID

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

Cites Work

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• Group-theoretic origin of certain generating functions
• Hypergeometric functions of two variables
• The Lie Theory of Two-Variable Hypergeometric Functions
• Lie theory and separation of variables. 11. The EPD equation
• Lie Theory and the Wave Equation in Space-Time. 2. The Group $SO(4,\mathbb{C})$
• R-Separation of Variables for the Four-Dimensional Flat Space Laplace and Hamilton-Jacobi Equations
• Lie Theory and the Appell Functions $F_1 $
• The Factorization Method
• Hypergeometrische Funktionen zweier Veränderlichen

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