Proof of Andrews' conjecture on a_4\phi_3 summation
Victor J. W. Guo
TL;DR
This paper provides a new proof of Andrews' a_4φ_3 summation and confirms a related conjecture, expanding the understanding of basic hypergeometric series with additional variations.
Contribution
The paper introduces a novel proof technique for Andrews' a_4φ_3 summation and verifies a recent conjecture, contributing new variations to these summations.
Findings
New proof of Andrews' a_4φ_3 summation
Confirmation of a conjectured a_4φ_3 summation
Presentation of variations of these summations
Abstract
We give a new proof of a_4\phi_3 summation due to G.E. Andrews and confirm another_4\phi_3 summation conjectured by him recently. Some variations of these two_4\phi_3 summations are also given.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Combinatorial Mathematics