Kodai Mathematical Journal
Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991
Infinite series around multinomial coefficients and harmonic numbers
Wenchang Chu
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Keywords: Hypergeometric series, The Gauss summation theorem, The Γ-function, Harmonic numbers, Multinomial coefficient
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2023 Volume 46 Issue 2 Pages 115-144

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Abstract

The Gauss summation theorem for 2F1-series is examined by means of power series expansions. Several infinite series involving harmonic numbers and multinomial coefficients are evaluated in closed forms.

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© 2023 Department of Mathematics, Tokyo Institute of Technology
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