A class of identities relating Whittaker and Bessel functions
Mathematical Physics
2007-05-23 v1 Classical Analysis and ODEs
math.MP
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.
Cite
@article{arxiv.math-ph/0412083,
title = {A class of identities relating Whittaker and Bessel functions},
author = {James Lucietti},
journal= {arXiv preprint arXiv:math-ph/0412083},
year = {2007}
}
Comments
8 pages, latex