A class of identities relating Whittaker and Bessel functions

Details A class of identities relating Whittaker and Bessel functions A class of identities relating Whittaker and Bessel functions

2004-12-22

arxiv.org/abs/math-ph/0412083v1

J. Math. Anal. Appl. 296 (2004) 1-7

Physics

Mathematical Physics

8 pages, latex

Scientific paper

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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