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Infinite series identities involving quadratic and cubic harmonic numbers

Pub Date : 2018-01-01 DOI:10.5565/PUBLMAT6211813
Xiaoyuan Wang, W. Chu
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引用次数: 4

Abstract

By means of the modified Abel lemma on summation by parts, we investigate infinite series involving quadratic and cubic harmonic numbers. Several infinite series identities are established for π 2 and ζ(3) as consequences.
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涉及二次和三次调和数的无穷级数恒等式
利用部分求和的修正阿贝尔引理，研究了包含二次调和数和三次调和数的无穷级数。推导出π 2和ζ(3)的无穷级数恒等式。
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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