Original Articles

A note on generating functions for Rogers-Szegő polynomials

Published in: Quaestiones Mathematicae
Volume 35 , issue 4 , 2012 , pages: 447–461

DOI: 10.2989/16073606.2012.742241

Author(s): Jian Cao Department of Mathematics, P.R. China

Keywords: Rogers-Szegőpolynomials , generating function , Al-Salam-Carlitz polynomials , Carlitz's q-operators , Srivastava-Agarwal type generating functions , Rogers-Szegőpolynomials , generating function , Al-Salam-Carlitz polynomials , Carlitz's q-operators , Srivastava-Agarwal type generating functions

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Abstract

In this paper, the details of certain Carlitz's generating functions for Rogers-Szegőpolynomials and their generalizations are given by Carlitz's q-operators. In addition, an additional proof of Srivastava-Jain's generating function is shown. At last, generalizations of Srivastava-Agarwal type generating functions are obtained.

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