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arXiv · 2305.14031

Generating functions of multiple $t$-star values of general level

Zhonghua Li·Lu Yan
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Abstract

In this paper, we study the explicit expressions of multiple t-star values with an arbitrary number of blocks of twos of general level. We give an expression of a generating function of such values, which generalizes the results for multiple zeta-star values and multiple t-star values. This derived generating function can provide expressions of multiple t-star values of general level in terms of the alternating multiple t-half values of general level with additional factorial and pochhammer symbol. As applications, some specific evaluations of multiple t-star values of general level with one-two-three or more general indices are given. These evaluations contribute to a deeper understanding of the properties of multiple t-star values of general level.

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Zhonghua Li, Lu Yan. 2023-05-23. Generating functions of multiple $t$-star values of general level. https://arxiv.org/abs/2305.14031

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