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

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

Research output: Contribution to journalArticle

6 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 languageEnglish (US)
Pages (from-to)69-89
Number of pages21
JournalStudies in Applied Mathematics
Volume66
Issue number1
DOIs
StatePublished - Jan 1 1982

Fingerprint Dive into the research topics of 'HARMONIC ANALYSIS AND EXPANSION FORMULAS FOR TWO-VARIABLE HYPERGEOMETRIC FUNCTIONS.'. Together they form a unique fingerprint.

  • Cite this