A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.
A remark on the q-hypergeometric integral Bailey pair and the solution to the star-triangle equation
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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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Flipping relation as a reduced star-star relation
A specific limit of the star-star relation produces the flipping relation, and new flipping solutions are given in several gamma-function families.