Transformation and Reduction Formulas for Two‐Variable Hypergeometric Functions on the Sphere S2
Copyright policy )Transformation and Reduction Formulas for Two‐Variable Hypergeometric Functions on the Sphere S2
We classify the two‐variable hypergeometric functions that arise as eigenfunctions of the Laplace‐Beltrami operator on S2 and characterize these functions in terms of elements in the enveloping algebra of so(3). This operator characterization is used to derive transformation and reduction formulas for the functions.
- Indian Institutes of Technology India
- University of Minnesota United States
- University of Waikato New Zealand
- University of Minnesota System United States
- University of Minnesota Morris United States
Classical hypergeometric functions, \({}_2F_1\), hypergeometric functions of two variables, angular momentum operators, eigenfunctions of Laplace-Beltrami operator, Horn functions, Connections of hypergeometric functions with groups and algebras, and related topics, eigenfunction of Casimir operator
Classical hypergeometric functions, \({}_2F_1\), hypergeometric functions of two variables, angular momentum operators, eigenfunctions of Laplace-Beltrami operator, Horn functions, Connections of hypergeometric functions with groups and algebras, and related topics, eigenfunction of Casimir operator
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