In this paper, we deduce several types of generating functions for q-2D Hermite polynomial by the method of homogeneous q-difference equations. Besides, we deduce a multilinear generating function for ...

IN a recent paper, entitled “Notes on Spherical Harmonics” (Proceedings of the Edinburgh Mathematical Society, vol. xxxii., 1914), Dr. John Dougall wrongly claims as new the expansion which he has ...