Note on Askey-Wilson $q$-Contour Integral Formula

Jian-Ping Fang

Abstract


We use Askey-Wilson $q$-contour integral formula and the $q$-Saalsch\"{u}tz's summation to derive a new recurring $q$-contour integral formula in this paper. Using this formula, we present a simple proof of the Sears' transformation of terminating balanced $_4\Phi_3$ series.

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DOI: http://dx.doi.org/10.5539/jmr.v6n2p59

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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