Open AccessPOLYLOGARITHMIC CONNECTIONS WITH EULER SUMS
Author(s) -
Anthony Sofo
Publication year - 2016
Publication title -
sarajevo journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 2233-1964
pISSN - 1840-0655
DOI - 10.5644/sjm.12..02
Subject(s) - mathematics , euler's formula , pure mathematics , mathematical analysis
Polylogarithmic functions are intrinsically connected with sums of harmonic numbers. In this paper we explore many relations and explicitly derive closed form representations of integrals of polylogarith- mic functions and the Lerch phi transcendent in terms of zeta functions and sums of alternating harmonic numbers.
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