Integral representations of Dini series of Bessel functions

Author: Baricz Árpád  

Publisher: Taylor & Francis Ltd

ISSN: 1065-2469

Source: Integral Transforms and Special Functions, Vol.24, Iss.8, 2013-08, pp. : 628-635

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Abstract

Two different type integral representation formulae are established for Dini (or Fourier-Dini) series of Bessel functions. The first one is a double definite integral expression derived by using a method successfully applied in the similar questions for Neumann, Kapteyn and Schlömilch series, while the another double indefinite integral formula is concluded by means of the non-homogenous Bessel differential equation.