☆ 4.5 Article

Asymptotic results of the remainders in the series representations for the Apery constant

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS (2022)

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Parametric binomial sums involving harmonic numbers

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Summary: The paper presents explicit formulas for a family of parametric binomial sums involving harmonic numbers for various values of p and |t| <= 1. It also generalizes a relation between Stirling numbers and the Riemann zeta function to polygamma function and provides some new series representations for the Apery constant zeta(3).

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS (2021)

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REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS (2021)

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