June 2023 Infinite series around multinomial coefficients and harmonic numbers
Wenchang Chu
Author Affiliations +
Kodai Math. J. 46(2): 115-144 (June 2023). DOI: 10.2996/kmj46201

Abstract

The Gauss summation theorem for $_2F_1$-series is examined by means of power series expansions. Several infinite series involving harmonic numbers and multinomial coefficients are evaluated in closed forms.

Citation

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Wenchang Chu. "Infinite series around multinomial coefficients and harmonic numbers." Kodai Math. J. 46 (2) 115 - 144, June 2023. https://doi.org/10.2996/kmj46201

Information

Received: 3 March 2022; Revised: 30 November 2022; Published: June 2023
First available in Project Euclid: 29 June 2023

MathSciNet: MR4609438
zbMATH: 07714057
Digital Object Identifier: 10.2996/kmj46201

Subjects:
Primary: 11B65 , 11M06
Secondary: 33C20 , 65B10

Keywords: harmonic numbers , hypergeometric series , multinomial coefficient , The $\Gamma$-function , The Gauss summation theorem

Rights: Copyright © 2023 Tokyo Institute of Technology, Department of Mathematics

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Vol.46 • No. 2 • June 2023
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