A standard proof of Andrews' conjecture for \(_4\phi_3\)-series.

zbMATH Open1349.05017arXiv1309.3936MaRDI QIDQ2804781

Xiaoxia Wang, Chuanan Wei

Publication date: 4 May 2016

Published in: Ars Combinatoria (Search for Journal in Brave)

Abstract: In terms of Sear's transformation formula for ${}_{4}ph{i}_3$-series, we give new proofs of a summation formula for ${}_{4}ph{i}_3$-series due to Andrews [2] and another summation formula for${}_{4}ph{i}_3$-series conjectured in the same paper. Meanwhile, other several related results are also derived.

Full work available at URL: https://arxiv.org/abs/1309.3936

zbMATH Keywords

basic hypergeometric seriesCatalan numbersAndrews' conjecture for \(_4\phi_3\)-series

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (3)

Proof of Andrews' conjecture on a₄φ₃summation ⋮ Terminating balanced $_4\phi _3$-series with two integer parameters ⋮ A $q$-congruence for a truncated $_4\varphi_3$ series

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