• Title of article

    Powers of modified Bessel functions of the first kind

  • Author/Authors

    Baricz، نويسنده , , ءrpلd، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    3
  • From page
    722
  • To page
    724
  • Abstract
    In this short note we consider the modified Bessel function of the first kind I ν and we present an alternative derivation of the MacLaurin series expansion of the power I ν r , 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.
  • Keywords
    Modified Bessel function of the first kind , Euler’s formula
  • Journal title
    Applied Mathematics Letters
  • Serial Year
    2010
  • Journal title
    Applied Mathematics Letters
  • Record number

    1526924