On a conjectural series of Sun for the mathematical constant β(4)

2023/02/23 by Wei, Chuanan
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2303.05402

Abstract

Series expansions for the mathematical constant β(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 β(4). Furthermore, we find five new series for the same constant in this paper.

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