A class of identities relating Whittaker and Bessel functions

James Lucietti

doi:10.1016/j.jmaa.2003.12.041

A class of identities relating Whittaker and Bessel functions

James Lucietti

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Journal	Journal of mathematical analysis and applications
DOIs	https://doi.org/10.1016/j.jmaa.2003.12.041
Publication status	Published - 1 Aug 2004

Keywords / Materials (for Non-textual outputs)

math-ph
math.CA
math.MP

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10.1016/j.jmaa.2003.12.041

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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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AB - 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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KW - math.MP

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A class of identities relating Whittaker and Bessel functions

Abstract

Keywords / Materials (for Non-textual outputs)

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