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 language | English (US) |
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Pages (from-to) | 1434-1444 |
Number of pages | 11 |
Journal | Journal of Mathematical Physics |
Volume | 9 |
Issue number | 9 |
DOIs | |
State | Published - 1968 |
Externally published | Yes |