TY - JOUR

T1 - HARMONIC ANALYSIS AND EXPANSION FORMULAS FOR TWO-VARIABLE HYPERGEOMETRIC FUNCTIONS.

AU - Kalnins, E. G.

AU - Manocha, H. L.

AU - Miller, Willard

PY - 1982/1/1

Y1 - 1982/1/1

N2 - 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.

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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U2 - 10.1002/sapm198266169

DO - 10.1002/sapm198266169

M3 - Article

AN - SCOPUS:0020090527

VL - 66

SP - 69

EP - 89

JO - Studies in Applied Mathematics

JF - Studies in Applied Mathematics

SN - 0022-2526

IS - 1

ER -