Clebsch-Gordan coefficients and special function identities. II. The rotation and Lorentz groups in 3-space

Willard Miller

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

It is shown that the construction of concrete models of Clebsch-Gordan decompositions for tensor products of irreducible group representations leads to a wide variety of special function identities. In this paper the repre-sentation theory of the rotation and Lorentz groups in 3-space is used to give elegant derivations of identities involving Laguerre, Gegenbauer, hypergeometric, and generalized hypergeometric functions. Some of these identities may be new in this general form.

Original languageEnglish (US)
Pages (from-to)827-833
Number of pages7
JournalJournal of Mathematical Physics
Volume13
Issue number6
DOIs
StatePublished - Jan 1 1972

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