Summation formulae for finite cotangent sums
Само за регистроване кориснике
2009
Чланак у часопису (Објављена верзија)
Метаподаци
Приказ свих података о документуАпстракт
Recently, a half-dozen remarkably general families of the finite trigonometric sums were summed in closed-form by choosing a particularly convenient integration contour and making use of the calculus of residues. In this sequel, we show that this procedure can be further extended and we find the summation formulae, in terms of the higher order Bernoulli polynomials and the ordinary Bernoulli polynomials, for four general families of the finite cotangent sums. (C) 2009 Elsevier Inc. All rights reserved.
Кључне речи:
Trigonometric sums / Finite summation / Cotangent sums / Alternate cotangent sums / Contour integration / Cauchy residue theorem / Higher order Bernoulli polynomials / Bernoulli polynomials / Bernoulli numbersИзвор:
Applied Mathematics and Computation, 2009, 215, 3, 1135-1140Финансирање / пројекти:
- Физичка хемија динамичких стања и структура неравнотежних система - од монотоне до осцилаторне еволуције и хаоса (RS-MESTD-MPN2006-2010-142025)
- Ортогонални системи и примене (RS-MESTD-MPN2006-2010-144004)
DOI: 10.1016/j.amc.2009.06.053
ISSN: 0096-3003
WoS: 000269403200028
Scopus: 2-s2.0-69249218974
Колекције
Институција/група
VinčaTY - JOUR AU - Cvijović, Đurđe PY - 2009 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3778 AB - Recently, a half-dozen remarkably general families of the finite trigonometric sums were summed in closed-form by choosing a particularly convenient integration contour and making use of the calculus of residues. In this sequel, we show that this procedure can be further extended and we find the summation formulae, in terms of the higher order Bernoulli polynomials and the ordinary Bernoulli polynomials, for four general families of the finite cotangent sums. (C) 2009 Elsevier Inc. All rights reserved. T2 - Applied Mathematics and Computation T1 - Summation formulae for finite cotangent sums VL - 215 IS - 3 SP - 1135 EP - 1140 DO - 10.1016/j.amc.2009.06.053 ER -
@article{ author = "Cvijović, Đurđe", year = "2009", abstract = "Recently, a half-dozen remarkably general families of the finite trigonometric sums were summed in closed-form by choosing a particularly convenient integration contour and making use of the calculus of residues. In this sequel, we show that this procedure can be further extended and we find the summation formulae, in terms of the higher order Bernoulli polynomials and the ordinary Bernoulli polynomials, for four general families of the finite cotangent sums. (C) 2009 Elsevier Inc. All rights reserved.", journal = "Applied Mathematics and Computation", title = "Summation formulae for finite cotangent sums", volume = "215", number = "3", pages = "1135-1140", doi = "10.1016/j.amc.2009.06.053" }
Cvijović, Đ.. (2009). Summation formulae for finite cotangent sums. in Applied Mathematics and Computation, 215(3), 1135-1140. https://doi.org/10.1016/j.amc.2009.06.053
Cvijović Đ. Summation formulae for finite cotangent sums. in Applied Mathematics and Computation. 2009;215(3):1135-1140. doi:10.1016/j.amc.2009.06.053 .
Cvijović, Đurđe, "Summation formulae for finite cotangent sums" in Applied Mathematics and Computation, 215, no. 3 (2009):1135-1140, https://doi.org/10.1016/j.amc.2009.06.053 . .