Special functions and the complex Euclidean group in 3-space. III

Willard Miller

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Abstract

This paper is the third in a series analyzing identities for special functions which can be derived from a study of the local representations of the Euclidean group in 3-space. Here identities are derived which relate Gegenbauer polynomials, Whittaker functions, Jacobi polynomials, and Bessel functions. Among the results are generalizations of the addition theorems for solid-spherical harmonics and a group-theoretic interpretation of the Maxwell theory of poles.

Original languageEnglish (US)
Pages (from-to)1434-1444
Number of pages11
JournalJournal of Mathematical Physics
Volume9
Issue number9
DOIs
StatePublished - Jan 1 1968

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