Bilinear generating functions of the multivariable Al-Salam-Carlitz polynomials and applications
arXiv:2607.23104
Abstract
In this paper, by the method of comparing coefficients, we establish a new generating function of multivariable Al-Salam-Carlitz polynomials which contains both Rogers' and Bowman's symmetirc expansion formulas and the classical -Mehler formula as special cases. Some new -series identities related to the multivariable Al-Salam-Carlitz polynomials are also presented.
arXiv comment19 pages