Kibble-Slepian Formula and Generating Functions for 2D Polynomials
Ismail, Mourad E. H. · Zhang, Ruiming
Original · EN
We prove a generalization of the Kibble--Slepian formula (for Hermite polynomials) and its unitary analogue involving the 2D Hermite polynomials recently proved in Ism4. We derive integral representations for the 2D Hermite polynomials which are of independent interest. Several new generating functions for 2D q-Hermite polynomials will also be given.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.