HARMONIC ANALYSIS AND EXPANSION FORMULAS FOR TWO-VARIABLE HYPERGEOMETRIC FUNCTIONS.

E. G. Kalnins; H. L. Manocha; Willard Miller

doi:10.1002/sapm198266169

HARMONIC ANALYSIS AND EXPANSION FORMULAS FOR TWO-VARIABLE HYPERGEOMETRIC FUNCTIONS.

E. G. Kalnins
, H. L. Manocha
, Willard Miller

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

It is shown how a Lie-theoretic characterization of two-variable hypergeometric functions can be employed to derive expansion theorems involving these functions. In particular, the functions arise as solutions of the Laplace, wave, heat, Helmholz, and Schrodinger equations, and new bases can be constructed from the functions with which to expand general solutions of these physically important equations.

Original language	English (US)
Pages (from-to)	69-89
Number of pages	21
Journal	Studies in Applied Mathematics
Volume	66
Issue number	1
DOIs	https://doi.org/10.1002/sapm198266169
State	Published - 1982
Externally published	Yes

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10.1002/sapm198266169

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title = "HARMONIC ANALYSIS AND EXPANSION FORMULAS FOR TWO-VARIABLE HYPERGEOMETRIC FUNCTIONS.",

abstract = "It is shown how a Lie-theoretic characterization of two-variable hypergeometric functions can be employed to derive expansion theorems involving these functions. In particular, the functions arise as solutions of the Laplace, wave, heat, Helmholz, and Schrodinger equations, and new bases can be constructed from the functions with which to expand general solutions of these physically important equations.",

author = "Kalnins, \{E. G.\} and Manocha, \{H. L.\} and Willard Miller",

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AU - Miller, Willard

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Y1 - 1982

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AB - It is shown how a Lie-theoretic characterization of two-variable hypergeometric functions can be employed to derive expansion theorems involving these functions. In particular, the functions arise as solutions of the Laplace, wave, heat, Helmholz, and Schrodinger equations, and new bases can be constructed from the functions with which to expand general solutions of these physically important equations.

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M3 - Article

AN - SCOPUS:0020090527

SN - 0022-2526

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IS - 1

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HARMONIC ANALYSIS AND EXPANSION FORMULAS FOR TWO-VARIABLE HYPERGEOMETRIC FUNCTIONS.

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