Various Series Related to the Polylogarithmic Function
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2022
Authors
Stojiljković, VukFabiano, Nicola
Pantović, Mirjana
Radojević, Slobodan
Radenović, Stojan
Šešum Ćavić, Vesna
Article (Published version)
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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.
Keywords:
harmonic numbers / integration / polylogarithmic function / seriesSource:
Axioms, 2022, 11, 4, 174-Funding / projects:
- Ministry of Science, Technological Development and Innovation of the Republic of Serbia, institutional funding - 200122 (University of Kragujevac, Faculty of Science) (RS-MESTD-inst-2020-200122)
DOI: 10.3390/axioms11040174
ISSN: 2075-1680
WoS: 00078626430000
Scopus: 2-s2.0-85129058286
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VinčaTY - JOUR AU - Stojiljković, Vuk AU - Fabiano, Nicola AU - Pantović, Mirjana AU - Radojević, Slobodan AU - Radenović, Stojan AU - Šešum Ćavić, Vesna PY - 2022 UR - https://vinar.vin.bg.ac.rs/handle/123456789/10257 AB - 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. T2 - Axioms T1 - Various Series Related to the Polylogarithmic Function VL - 11 IS - 4 SP - 174 DO - 10.3390/axioms11040174 ER -
@article{ author = "Stojiljković, Vuk and Fabiano, Nicola and Pantović, Mirjana and Radojević, Slobodan and Radenović, Stojan and Šešum Ćavić, Vesna", year = "2022", 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.", journal = "Axioms", title = "Various Series Related to the Polylogarithmic Function", volume = "11", number = "4", pages = "174", doi = "10.3390/axioms11040174" }
Stojiljković, V., Fabiano, N., Pantović, M., Radojević, S., Radenović, S.,& Šešum Ćavić, V.. (2022). Various Series Related to the Polylogarithmic Function. in Axioms, 11(4), 174. https://doi.org/10.3390/axioms11040174
Stojiljković V, Fabiano N, Pantović M, Radojević S, Radenović S, Šešum Ćavić V. Various Series Related to the Polylogarithmic Function. in Axioms. 2022;11(4):174. doi:10.3390/axioms11040174 .
Stojiljković, Vuk, Fabiano, Nicola, Pantović, Mirjana, Radojević, Slobodan, Radenović, Stojan, Šešum Ćavić, Vesna, "Various Series Related to the Polylogarithmic Function" in Axioms, 11, no. 4 (2022):174, https://doi.org/10.3390/axioms11040174 . .