On Kapteyn-Kummer Series' Integral Form
arXiv:1603.01085
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-, Schlömilch- and Kapteyn-Bessel series recently established by Pogány, Süli, Baricz and Jankov Maširević.