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
SN - 0022-2526
VL - 66
SP - 69
EP - 89
JO - Studies in Applied Mathematics
JF - Studies in Applied Mathematics
IS - 1
ER -