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Summation of slowly convergent series by Gaussian type of quadratures and application to calculation of values of the Riemann zeta function
dc.contributor | Milovanović, Gradimir V. | |
dc.creator | Milovanović, Gradimir V. | |
dc.date.accessioned | 2022-09-30T10:17:50Z | |
dc.date.available | 2023-12-30 | |
dc.date.issued | 2021 | |
dc.identifier.issn | 0561-7332 | |
dc.identifier.uri | https://dais.sanu.ac.rs/123456789/13287 | |
dc.description.abstract | Beside a short account on the summation/integration methods for slowly convergent series (Laplace transform method for numerical and trigonometric series and the method of contour integration over a rectangle), a method based on a new transformation of the series to a weighted integral, with respect to the weight function over R+, is presented. Such a method is applied to calculation of the values of the Riemann zeta function. Several numerical examples are included. | sr |
dc.language.iso | en | sr |
dc.publisher | Beograd : Académie Serbe des sciences et des arts | sr |
dc.rights | embargoedAccess | sr |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.source | Bulletin T.CLIV de l’Académie serbe des sciences et des arts | sr |
dc.subject | Slowly convergent series | sr |
dc.subject | Gaussian quadrature | sr |
dc.subject | weight function | sr |
dc.subject | three-term recurrence relation | sr |
dc.subject | convergence | sr |
dc.subject | Laplace transform | sr |
dc.subject | contour integration | sr |
dc.subject | Riemann zeta function | sr |
dc.title | Summation of slowly convergent series by Gaussian type of quadratures and application to calculation of values of the Riemann zeta function | sr |
dc.type | conferenceObject | sr |
dc.rights.license | BY-NC-ND | sr |
dc.citation.spage | 131 | |
dc.citation.epage | 150 | |
dc.description.other | Bulletin t. 154 de l'Académie serbe des sciences et des arts. Classe des sciences mathématiques et naturelles. Sciences mathematiques no 46 | sr |
dc.type.version | publishedVersion | sr |
dc.identifier.fulltext | http://dais.sanu.ac.rs/bitstream/id/53042/bitstream_53042.pdf | |
dc.identifier.rcub | https://hdl.handle.net/21.15107/rcub_dais_13287 |
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Classe des sciences mathematiques et naturelles
ISSN 0561-7332