Various Series Related to the Polylogarithmic Function-Reference-Cited by-同舟云学术

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Various Series Related to the Polylogarithmic Function

Published:2022-04-13 Issue:4 Volume:11 Page:174
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Stojiljković Vuk^ORCID,Fabiano Nicola^ORCID,Pantović Mirjana^ORCID,Radojević Slobodan^ORCID,Radenović Stojan^ORCID,Šešum Ćavić Vesna^ORCID

Abstract

We derive some series related to the polylogarithmic function, and we also give a new proof to the existing series. Our approach is based on using the summation and integral representation methods. We obtain various interesting series as a consequence.

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/11/4/174/pdf

Reference18 articles.

1. De Inventione Integralium, si Post Integrationem Variabili Quantitati Determinatus Valor Tribuatur;Euler,1743

2. Om Definita Integraler Mellan Imaginära Gränsor;Malmsten,1865

3. The Summation of Series (Dover Books on Mathematics);Davis,2015

4. Infinite Series;Hirschman,2014

5. Theory and Applications of Infinite Series;Knopp,1990

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