Evaluation of integrals with hypergeometric and logarithmic functions-Reference-Cited by-同舟云学术

Evaluation of integrals with hypergeometric and logarithmic functions

Published:2018-01-01 Issue:1 Volume:16 Page:63-74
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Sofo Anthony¹

Affiliation:

1. Victoria University , P.O. Box 14428 , Melbourne City , Victoria 8001 , Australia

Abstract

Abstract We provide an explicit analytical representation for a number of logarithmic integrals in terms of the Lerch transcendent function and other special functions. The integrals in question will be associated with both alternating harmonic numbers and harmonic numbers with positive terms. A few examples of integrals will be given an identity in terms of some special functions including the Riemann zeta function. In general none of these integrals can be solved by any currently available mathematical package.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2018-0008/pdf

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