q-Difference equation and the Cauchy operator identities

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:359

Article

Lu, Da-qian

关键词: q-Series;    Basic hypergeometric series;    q-Differential operator;    The Cauchy operator;    Multiple basic hypergeometric series;   

DOI  :  10.1016/j.jmaa.2009.05.048

来源: Elsevier

【 摘 要 】

In this paper, we verify the Cauchy operator identities by a new method. And by using the Cauchy operator identities, we obtain a generating function for Rogers-Szego polynomials. Applying the technique of parameter augmentation to two multiple generalizations of q-Chu-Vandermonde summation theorem given by Milne, we also obtain two multiple generalizations of the Kalnins-Miller transformation. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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