Integral representation of first kind Kapteyn series

Árpád Baricz, Dragana Jankov, Tibor K. Pogány

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Abstract

The main aim of this research note is to establish two different types of integral representation formulae for the Kapteyn series of the first kind. The first one is a double definite integral expression, while the second type includes indefinite integral representation formula.

Original languageEnglish
Article number043518
JournalJournal of Mathematical Physics
Volume52
Issue number4
DOIs
Publication statusPublished - Apr 5 2011

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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