On a representation of Humbert's double hypergeometric series $\Phi_3$   in a series of Gauss's $_2F_1$ function
  Very recently a new series representation of Humbert's double hypergeometric series $\Phi_3$ in series of Gauss's $_2F_1$ function was given by one of us. The aim of this short research note is to provide an alternative proof of the result. A few interesting special cases are also given. 
Arjun K. Rathie, Victor V. Manako and Harsh Vardhan Harsh
math.CV