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Bilinear generating functions of the multivariable Al-Salam-Carlitz polynomials and applications
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.
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BibTeX
@misc{chen2026bilinear,
title = {{Bilinear generating functions of the multivariable Al-Salam-Carlitz polynomials and applications}},
author = {Qi Chen and Xinrong Ma and Jin Wang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2607.23104},
eprint = {2607.23104},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.23104},
}
RIS
TY - UNPB
TI - Bilinear generating functions of the multivariable Al-Salam-Carlitz polynomials and applications
AU - Qi Chen
AU - Xinrong Ma
AU - Jin Wang
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2607.23104
UR - https://arxiv.org/abs/2607.23104
AB - 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.
ER -