多对数积分的一些bbp型级数

IF 0.3 Q4 MATHEMATICS

Acta et Commentationes Universitatis Tartuensis de Mathematica Pub Date : 2021-11-17 DOI:10.12697/acutm.2021.25.21

A. Sofo

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引用次数: 1

摘要

本文研究了一类包含对数-多元函数的定积分。欧拉和在这些积分的解中起着重要的作用，可以用bbp型公式表示。在特殊情况下，我们证明了相应的对数积分可以表示为函数与狄利克雷函数乘积的线性组合。

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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Some BBP-type series for polylog integrals

An investigation into a family of definite integrals containing log-polylog functions will be undertaken in this paper. It will be shown that Euler sums play an important part in the solution of these integrals and may be represented as a BBP-type formula. In a special case we prove that the corresponding log integral can be represented as a linear combination of the product of zeta functions and the Dirichlet beta function.

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来源期刊

Acta et Commentationes Universitatis Tartuensis de Mathematica MATHEMATICS-

CiteScore

0.60

自引率

33.30%

发文量