Show simple item record

dc.creatorCvijović, Đurđe
dc.date.accessioned2018-03-01T20:08:35Z
dc.date.available2018-03-01T20:08:35Z
dc.date.issued2009
dc.identifier.issn0893-9659 (print)
dc.identifier.urihttp://vinar.vin.bg.ac.rs/handle/123456789/3246
dc.description.abstractBy elementary arguments, we deduce closed-form expressions for the values of all derivatives of the cotangent function at rational multiples of pi. These formulae are considerably simpler than Similar ones which were found in a different manner by Kolbig. Also, we show that the values of cot((n))(pi x), n epsilon N, at x = 1/2, 1/3, 2/3, 1/4, 3/4, 1/6 and 5/6 are expressible in terms of the values of the Bernoulli polynomials alone. (C) 2008 Elsevier Ltd. All rights reserved.en
dc.relationMinistry of Science and Environmental Protection of the Republic of Serbia [142025]
dc.rightsopenAccessen
dc.sourceApplied Mathematics Lettersen
dc.subjectCotangent functionen
dc.subjectSimpsons series multisection formulaen
dc.subjectBernoulli polynomialsen
dc.subjectBernoulli numbersen
dc.subjectHurwitz zeta functionen
dc.subjectPolylogarithmen
dc.titleValues of the derivatives of the cotangent at rational multiples of pien
dc.typearticleen
dcterms.abstractЦвијовић Ђурђе;
dc.citation.volume22
dc.citation.issue2
dc.citation.spage217
dc.citation.epage220
dc.identifier.wos000262219200014
dc.identifier.doi10.1016/j.aml.2008.03.013
dc.citation.rankM22
dc.identifier.scopus2-s2.0-56949101674
dc.identifier.fulltexthttp://vinar.vin.bg.ac.rs//bitstream/id/12417/3242.pdf


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record