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A class of identities relating Whittaker and Bessel functions

2004/12/22 by James Lucietti
Physics and Astronomy · Mathematics · #math-ph #math.CA #math.MP

paper · pdf

published as J. Math. Anal. Appl. 296 (2004) 1-7 · 8 pages, latex

arxiv created 2004/12/22 · arxiv updated 2009/12/01

Abstract

Identities between Whittaker and modified Bessel functions are derived for particular complex orders. Certain polynomials appear in such identities, which satisfy a fourth order differential equation (not of hypergeometric type), and they themselves can be expressed as particular linear combinations of products of modified Bessel and confluent hypergeometric functions.

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