New proofs of generating functions for Rogers–Szegö polynomials
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摘要
In this paper, we show how to use the q-exponential operator to prove four generating functions for Rogers–Szegö polynomials of [L. Carlitz, Generating functions for certain q-orthogonal polynomials, Collectanea Math. 23 (1972), 91–104]. In addition, four auxiliary ones under the replacement q→q-1 are derived by this method.
论文关键词：Rogers–Szegö polynomials,Generating function,q-Difference operator,q-Exponential operator,Operator identity
论文评审过程：Received 29 June 2008, Revised 1 November 2008, Accepted 3 November 2008, Available online 12 November 2008.
论文官网地址：https://doi.org/10.1016/j.amc.2008.11.003
