Bilinear generating functions of the multivariable Al-Salam-Carlitz polynomials and applications
Year: 2026
Type: preprint
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 $q$-Mehler formula as special cases. Some new $q$-series identities related to the multivariable Al-Salam-Carlitz polynomials are also presented.
Source: arXiv (Cornell University)
Authors: Chen, Qi, Ma, Xinrong, Wang, Jin
Institutions: Soochow University, Zhejiang Normal University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7171532481