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arXiv · 2305.17585

Curious multisection identities by index factorization

C. Vignat·M. Milgram
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Abstract

This manuscript introduces a general multisection identity expressed equivalently in terms of infinite double products and/or infinite double series, from which several new product or summation identities involving special functions including Gamma, hyperbolic trigonometric, polygamma, zeta and Jacobi theta functions, are derived. It is shown that a parameterized version of this multisection identity exists, a specialization of which coincides with the standard multisection identity.

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C. Vignat, M. Milgram. 2023-05-27. Curious multisection identities by index factorization. https://arxiv.org/abs/2305.17585

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