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

  •  Jian-Ping Fang    


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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