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 ${}_1F_1$) 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. 
Tibor K. Pog\'any, \'Arp\'ad Baricz, Anik\'o Szak\'al
math.CA