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We obtain various interesting series as a consequence.<\/jats:p>","DOI":"10.3390\/axioms11040174","type":"journal-article","created":{"date-parts":[[2022,4,13]],"date-time":"2022-04-13T21:33:42Z","timestamp":1649885622000},"page":"174","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Various Series Related to the Polylogarithmic Function"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4244-4342","authenticated-orcid":false,"given":"Vuk","family":"Stojiljkovi\u0107","sequence":"first","affiliation":[{"name":"Faculty of Science, University of Novi Sad, Trg Dositeja Obradovi\u0107a 3, 21000 Novi Sad, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1645-2071","authenticated-orcid":false,"given":"Nicola","family":"Fabiano","sequence":"additional","affiliation":[{"name":"\u201cVin\u010da\u201d Institute of Nuclear Sciences, National Institute of the Republic of Serbia, University of Belgrade, Mike Petrovi\u0107a Alasa 12-14, 11351 Belgrade, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6257-8666","authenticated-orcid":false,"given":"Mirjana","family":"Pantovi\u0107","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Radoja Domanovi\u0107a 12, 34000 Kragujevac, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1845-4441","authenticated-orcid":false,"given":"Slobodan","family":"Radojevi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8254-6688","authenticated-orcid":false,"given":"Stojan","family":"Radenovi\u0107","sequence":"additional","affiliation":[{"name":"Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Beograd, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0759-0686","authenticated-orcid":false,"given":"Vesna","family":"\u0160e\u0161um \u0106avi\u0107","sequence":"additional","affiliation":[{"name":"Gra\u0111evinski Fakultet, University of Belgrade, Bulevar Kralja Aleksandra 73, 11000 Beograd, Serbia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,4,13]]},"reference":[{"key":"ref_1","unstructured":"Euler, L. (1743). De Inventione Integralium, si Post Integrationem Variabili Quantitati Determinatus Valor Tribuatur, University of the Pacific. Miscellanea Berolinensia."},{"key":"ref_2","unstructured":"Malmsten, S.J. (1865). Om Definita Integraler Mellan Imagin\u00e4ra Gr\u00e4nsor, Norstedt and S\u00f6ner."},{"key":"ref_3","unstructured":"Davis, H.T. (2015). The Summation of Series (Dover Books on Mathematics), Dover Publications."},{"key":"ref_4","unstructured":"Hirschman, I.I. (2014). Infinite Series, Dover Publications. Reprint Edition."},{"key":"ref_5","unstructured":"Knopp, K. (1990). Theory and Applications of Infinite Series, Dover Publications."},{"key":"ref_6","first-page":"3","article-title":"Harmonic series with polylogarithmic functions","volume":"70","author":"Fabiano","year":"2022","journal-title":"Vojnoteh. Glas. Tech. Cour."},{"key":"ref_7","unstructured":"Lewin, L. (1981). 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Anal."},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"S\u00eent\u0103m\u0103rian, A., and Furdui, O. (2021). Sharpening Mathematical Analysis Skills, Springer.","DOI":"10.1007\/978-3-030-77139-3"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"895","DOI":"10.5937\/vojtehg68-28535","article-title":"Zeta function and some of its properties","volume":"68","author":"Fabiano","year":"2020","journal-title":"Vojnoteh. Glas. Tech. Cour."},{"key":"ref_14","unstructured":"Edwards, M.H. (2001). Riemann\u2019s Zeta Function, Dover Publications."},{"key":"ref_15","unstructured":"Ali Olaikan, S. (2021). An Introduction to the Harmonic Series and Logarithmic Integrals, Ali Shadhar Olaikhan, Amazon Digital Services LLC KDP Print US."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Gasper, G., and Rahman, M. (2004). Basic Hypergeometric Series, Cambridge University Press. [2nd ed.].","DOI":"10.1017\/CBO9780511526251"},{"key":"ref_17","unstructured":"Bonar, D.D., and Kourym, M.J. (2006). Real Infinite Series, MAA."},{"key":"ref_18","unstructured":"Wolfram Alpha LLC (2022, January 12). Wolfram|Alpha. Available online: https:\/\/www.wolframalpha.com\/."}],"container-title":["Axioms"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-1680\/11\/4\/174\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T22:53:32Z","timestamp":1760136812000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-1680\/11\/4\/174"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,4,13]]},"references-count":18,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2022,4]]}},"alternative-id":["axioms11040174"],"URL":"https:\/\/doi.org\/10.3390\/axioms11040174","relation":{},"ISSN":["2075-1680"],"issn-type":[{"type":"electronic","value":"2075-1680"}],"subject":[],"published":{"date-parts":[[2022,4,13]]}}}