Summation formulae for finite cotangent sums
type: Item
instance of: scholarly article
title: Summation formulae for finite cotangent sums
zbMATH Open document ID: 1220.11095
author: Djurdje Cvijović
published in: Applied Mathematics and Computation
publication date: 2009-10-14T00:00:00Z
Mathematics Subject Classification ID: 11L03
Mathematics Subject Classification ID: 11B68
zbMATH DE Number: 5614851
zbMATH Keywords: trigonometric sums
zbMATH Keywords: finite summation
zbMATH Keywords: cotangent sums
zbMATH Keywords: alternate cotangent sums
zbMATH Keywords: contour integration
zbMATH Keywords: Cauchy residue theorem
zbMATH Keywords: higher order Bernoulli polynomials
zbMATH Keywords: Bernoulli polynomials
zbMATH Keywords: Bernoulli numbers
MaRDI profile type: Publication
full work available at URL: j.amc.2009.06.053
OpenAlex ID: W2007441166
cites work: Summation of a family of finite secant sums
cites work: Closed-form summation of two families of finite tangent sums
cites work: Closed-form summation of the Dowker and related sums
cites work: Some polynomials associated with Williams' limit formula for $\zeta (2n)$
cites work: Q5824493
cites work: Series associated with the zeta and related functions
cites work: Finite cotangent sums and the Riemann zeta function
cites work: Partial fractions and trigonometric identities
cites work: Explicit evaluations and reciprocity theorems for finite trigonometric sums
cites work: Summation formulae on trigonometric functions
cites work: Summations on trigonometric functions
cites work: Weighted trigonometric sums over a half-period
cites work: New trigonometric sums by sampling theorem
cites work: Q4327101
DOI: 10.1016/J.AMC.2009.06.053
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description: scientific article; zbMATH DE number 5614851