Abstract:  We obtain a formula which reduces the evaluation of a 2ψ2 series to two 2φ1 series. In some sense, this identity may be considered as a companion of Slater's formulas. We also find that a two-term 2ψ2 summation formula due to Slater can be derived from a unilateral summation formula of Andrews by bilateral extension and parameter augmentation.

  AMS Classification:  33D15, 05A30

  Keywords:  basic hypergeometric series, bilateral series, bilateral extension, parameter augmentation, q-Gauss summation.

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