Integral representations for the Al-Salam-Carlitz polynomials and an extension of the q-Vandermonde summation

Authors

  • Wang, Xiang-Li
  • Liu, Dong-Fang
  • Luo, Qiu-Ming

Abstract

In this paper, by applying the q-operator way, we obtain the q-integral representations for the generalized Al-Salam-Carlitz polynomials and extend the q-Vandermonde summation. We also give a simple proof for Heine's transformation formula.

Published

2016-06-09

How to Cite

Wang, Xiang-Li, Liu, Dong-Fang, & Luo, Qiu-Ming. (2016). Integral representations for the Al-Salam-Carlitz polynomials and an extension of the q-Vandermonde summation. Utilitas Mathematica, 100. Retrieved from https://utilitasmathematica.com/index.php/Index/article/view/1116

Citation Check

Most read articles by the same author(s)

Obs.: This plugin requires at least one statistics/report plugin to be enabled. If your statistics plugins provide more than one metric then please also select a main metric on the admin's site settings page and/or on the journal manager's settings pages.