2024/10/13 by Kunle Adegoke, Robert Frontczak, Adegoke, Kunle +1
Mathematics · #Holomorphic and Operator Theory #Meromorphic and Entire Functions #Advanced Algebra and Geometry
paper · pdf · doi:10.48550/arxiv.2410.22343
We apply a seemingly forgotten series expression of Nörlund 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 π.