Values of the derivatives of the cotangent at rational multiples of pi

dc.creator	Cvijović, Đurđe
dc.date.accessioned	2018-03-01T20:08:35Z
dc.date.available	2018-03-01T20:08:35Z
dc.date.issued	2009
dc.identifier.issn	0893-9659
dc.identifier.uri	https://vinar.vin.bg.ac.rs/handle/123456789/3246
dc.description.abstract	By 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.relation	info:eu-repo/grantAgreement/MESTD/MPN2006-2010/142025/RS//]
dc.rights	openAccess	en
dc.source	Applied Mathematics Letters	en
dc.subject	Cotangent function	en
dc.subject	Simpsons series multisection formula	en
dc.subject	Bernoulli polynomials	en
dc.subject	Bernoulli numbers	en
dc.subject	Hurwitz zeta function	en
dc.subject	Polylogarithm	en
dc.title	Values of the derivatives of the cotangent at rational multiples of pi	en
dc.type	article	en
dcterms.abstract	Цвијовић Ђурђе;
dc.citation.volume	22
dc.citation.issue	2
dc.citation.spage	217
dc.citation.epage	220
dc.identifier.wos	000262219200014
dc.identifier.doi	10.1016/j.aml.2008.03.013
dc.citation.rank	M22
dc.identifier.scopus	2-s2.0-56949101674
dc.identifier.fulltext	https://vinar.vin.bg.ac.rs//bitstream/id/12417/3242.pdf