Paper Info
Title
Kibble-Slepian formula and generating functions for 2D polynomials
Abstract
We prove a generalization of the Kibble-Slepian formula (for Hermite polynomials) and its unitary analogue involving the 2D Hermite polynomials recently proved in 16. 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.
Year
DOI
Venue
2016
10.1016/j.aam.2016.05.003
Advances in Applied Mathematics
Keywords
DocType
Volume
Hermite polynomials,2D Hermite polynomials,2D q-Hermite polynomials,Poisson kernels,Positivity of kernels,Integral operators,Multilinear generating functions,Kibble-Slepian formula
Journal
80
Issue
ISSN
Citations 
C
0196-8858
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Mourad E. H. Ismail17525.95
Ruiming Zhang212.37