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A recurring q-integral formula

Mingjin Wang

Abstract
In this paper, we use the q-Chu_Vandermonde formula to derive a recurring q-integral formula. Some applications of the recurring q-integral formula are also given, which include deriving the 3_2 representation of the Al-Salam_Carlitz polynomials and the extension of the terminating Sears' 3_2 transformation formula.' 2009 Elsevier Ltd. All rights reserved.


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