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arxiv: 1309.3936 · v1 · pith:NWSFRZCUnew · submitted 2013-09-13 · 🧮 math.CO · math.CA

A new proof of Andrews' conjecture for ₄φ₃-series

classification 🧮 math.CO math.CA
keywords seriesformulaandrewssummationanotherconjectureconjecturedderived
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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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