Note on a q -Contour Integral Formula of Gasper-Rahman

Jian-Ping Fang

doi:10.1155/2013/840704

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Home > Journals > Abstr. Appl. Anal. > Volume 2013 > Article

2013 Note on a

q

-Contour Integral Formula of Gasper-Rahman

Jian-Ping Fang

Abstr. Appl. Anal. 2013: 1-6 (2013). DOI: 10.1155/2013/840704

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Abstract

We use the $q$ -Chu-Vandermonde formula and transformation technique to derive a more general $q$ -integral equation given by Gasper and Rahman, which involves the Cauchy polynomial. In addition, some applications of the general formula are presented in this paper.