Euler sums of generalized harmonic numbers and connected extensions

IF 1 4区数学 Q1 MATHEMATICS Applicable Analysis and Discrete Mathematics Pub Date : 2022-01-01 DOI:10.2298/aadm210122014c

M. Can, L. Kargin, A. Dil, G. Soylu

引用次数: 3

Abstract

This paper presents the evaluation of the Euler sums of generalized hyperharmonic numbers H(p,q)n ?H(p,q)(r) = ?Xn=1 H(p,q)n/nr in terms of the famous Euler sums of generalized harmonic numbers. Moreover, several infinite series, whose terms consist of certain harmonic numbers and reciprocal binomial coefficients, are evaluated in terms of the Riemann zeta values.

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广义调和数与连通扩展的欧拉和

本文利用著名的广义调和数欧拉和，给出了广义超调和数H(p,q)n ?H(p,q)(r) = ?Xn=1 H(p,q)n/nr的欧拉和的估计。此外，用黎曼ζ值计算了若干项由调和数和互反二项式系数组成的无穷级数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).

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