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arXiv · 2303.05402

On a conjectural series of Sun for the mathematical constant $\beta(4)$

Chuanan Wei
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Abstract

Series expansions for the mathematical constant $\beta(4)$ are rare in the history. With the help of the operator method and a hypergeometric transformation, we prove a surprising conjectural series of Sun for $\beta(4)$. Furthermore, we find five new series for the same constant in this paper.

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Chuanan Wei. 2023-02-23. On a conjectural series of Sun for the mathematical constant $\beta(4)$. https://arxiv.org/abs/2303.05402

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