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A remark on the q-hypergeometric integral Bailey pair and the solution to the star-triangle equation

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arxiv 2212.13528 v1 pith:GH7T6LMM submitted 2022-12-27 math.CA hep-thmath-phmath.COmath.MPnlin.SI

Erdal Catak This is my paper · ORCID
classification math.CAhep-thmath-phmath.COmath.MPnlin.SI
keywords baileypairintegralq-hypergeometricstar-trianglebetaconstructconstructed
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abstract

We rewrite the recently constructed q-hypergeometric integral Bailey pair in a general form. Then with the help of the Bailey pair and $q$-beta hypergeometric sum-integral, we construct the star-triangle relation.

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  1. Flipping relation as a reduced star-star relation

    hep-th 2025-08 conditional novelty 5.0 of 10

    A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.

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