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arXiv · 2608.10984

A double-sum analogue of Whipple's summation formula and a restricted sum formula for multiple binomial sums

Takumi Maesaka
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Abstract

We prove a double-sum analogue of Whipple's ${}_3F_2$ summation formula. As an application, we establish a restricted sum formula for multiple binomial sums, which arise as special cases of Igarashi's parametrized multiple zeta series.

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Takumi Maesaka. 2026-08-11. A double-sum analogue of Whipple's summation formula and a restricted sum formula for multiple binomial sums. https://arxiv.org/abs/2608.10984

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