A class of identities relating Whittaker and Bessel functions

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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.
Original languageEnglish
JournalJournal of mathematical analysis and applications
DOIs
Publication statusPublished - 1 Aug 2004

Keywords

  • math-ph
  • math.CA
  • math.MP

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