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arXiv · 2410.22343

Series associated with a forgotten identity of N\"orlund

Kunle Adegoke·Robert Frontczak
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Abstract

We apply a seemingly forgotten series expression of N\"orlund for the psi function to express infinite series involving inverse factorials in closed form. Many of such series contain products of Catalan numbers and (odd) harmonic numbers. We also prove some new series for $\pi$.

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Kunle Adegoke, Robert Frontczak. 2024-10-13. Series associated with a forgotten identity of N\"orlund. https://arxiv.org/abs/2410.22343

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