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

Chuanan Wei, Xiaoxia Wang

Published 2013-09-13Version 1

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.