A new proof of Andrews' conjecture for $_4φ_3$-series

Published 13 Sep 2013 in math.CO and math.CA | (1309.3936v1)

Abstract: In terms of Sear's transformation formula for $_4\phi_3$-series, we give new proofs of a summation formula for ${_4\phi_3}$-series due to Andrews [2] and another summation formula for${_4\phi_3}$-series conjectured in the same paper. Meanwhile, other several related results are also derived.

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