On Kapteyn-Kummer Series' Integral Form

In this short research note we obtain double definite integral expressions for the Kapteyn type series built by Kummer’s $M$ (or confluent hypergeometric ${}_1{F}_1$) 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.