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Takumi Maesaka

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Preprint Aug 2026

Double basic hypergeometric sums via a regularized Jackson $q$-integral

Using the Andrews--Askey integral, we derive a holomorphic extension formula for a Jackson $q$-integral. This formula allows identities established for terminating specializations to be continued to the nonterminating case. Our first application yields two companion binomial-type double-sum formulas. The second formula...

Takumi Maesaka · 0 citations

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