On Kapteyn-Kummer Series' Integral Form
Classical Analysis and ODEs
2016-03-22 v2
Abstract
In this short research note we obtain double definite integral expressions for the Kapteyn type series built by Kummer's (or confluent hypergeometric ) functions. These kind of series unify in natural way the similar fashion results for Neumann-, Schl\"omilch- and Kapteyn-Bessel series recently established by Pog\'any, S\"uli, Baricz and Jankov Ma\v{s}irevi\'c.
Keywords
Cite
@article{arxiv.1603.01085,
title = {On Kapteyn-Kummer Series' Integral Form},
author = {Tibor K. Pogány and Árpád Baricz and Anikó Szakál},
journal= {arXiv preprint arXiv:1603.01085},
year = {2016}
}