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-, Schlömilch- and Kapteyn-Bessel series recently established by Pogány, Süli, Baricz and Jankov Maširević.