On two conjectural series for $\pi$ and their $q$-analogues

Chuanan Wei

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arXiv · 2211.11484

On two conjectural series for $\pi$ and their $q$-analogues

Chuanan Wei

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Abstract

In terms of the operator method, we prove two conjectural series for $\pi$ of Sun involving harmonic numbers of order two. Furthermore, we also give $q$-analogues of six $\pi$-formulas including the two ones just mentioned.

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Chuanan Wei. 2022-11-21. On two conjectural series for $\pi$ and their $q$-analogues. https://arxiv.org/abs/2211.11484

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