Powers of modified Bessel functions of the first kind

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5 Citations (Scopus)

Abstract

In this short note we consider the modified Bessel function of the first kind Iν and we present an alternative derivation of the MacLaurin series expansion of the power Iνr, where r is an arbitrary real (or complex) number. The key tool in our proof is a very old formula of L. Euler deduced in 1748.

Original languageEnglish
Pages (from-to)722-724
Number of pages3
JournalApplied Mathematics Letters
Volume23
Issue number6
DOIs
Publication statusPublished - Jun 1 2010

Keywords

  • Euler's formula
  • Modified Bessel function of the first kind

ASJC Scopus subject areas

  • Applied Mathematics

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