Summation of a family of finite secant sums
Апстракт
We use contour integrals and the Cauchy residue theorem in order to derive several summation formulas, in terms of the higher-order Bernoulli polynomials and the ordinary Bernoulli and Euler polynomials, for a remarkably general family of secant sums. Numerous (known or new) special cases are shown to follow readily from the summation formulas presented in this paper. (c) 2007 Elsevier Inc. All rights reserved.
Кључне речи:
secant sums / finite summation formulas / contour integration / Cauchy residue theorem / higher-order Bernoulli polynomials / Euler polynomials and numbersИзвор:
Applied Mathematics and Computation, 2007, 190, 1, 590-598
DOI: 10.1016/j.amc.2007.01.054
ISSN: 0096-3003
WoS: 000247803500058
Scopus: 2-s2.0-34249848159
Колекције
Институција/група
VinčaTY - JOUR AU - Cvijović, Đurđe AU - Srivastava, H. M. PY - 2007 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3207 AB - We use contour integrals and the Cauchy residue theorem in order to derive several summation formulas, in terms of the higher-order Bernoulli polynomials and the ordinary Bernoulli and Euler polynomials, for a remarkably general family of secant sums. Numerous (known or new) special cases are shown to follow readily from the summation formulas presented in this paper. (c) 2007 Elsevier Inc. All rights reserved. T2 - Applied Mathematics and Computation T1 - Summation of a family of finite secant sums VL - 190 IS - 1 SP - 590 EP - 598 DO - 10.1016/j.amc.2007.01.054 ER -
@article{ author = "Cvijović, Đurđe and Srivastava, H. M.", year = "2007", abstract = "We use contour integrals and the Cauchy residue theorem in order to derive several summation formulas, in terms of the higher-order Bernoulli polynomials and the ordinary Bernoulli and Euler polynomials, for a remarkably general family of secant sums. Numerous (known or new) special cases are shown to follow readily from the summation formulas presented in this paper. (c) 2007 Elsevier Inc. All rights reserved.", journal = "Applied Mathematics and Computation", title = "Summation of a family of finite secant sums", volume = "190", number = "1", pages = "590-598", doi = "10.1016/j.amc.2007.01.054" }
Cvijović, Đ.,& Srivastava, H. M.. (2007). Summation of a family of finite secant sums. in Applied Mathematics and Computation, 190(1), 590-598. https://doi.org/10.1016/j.amc.2007.01.054
Cvijović Đ, Srivastava HM. Summation of a family of finite secant sums. in Applied Mathematics and Computation. 2007;190(1):590-598. doi:10.1016/j.amc.2007.01.054 .
Cvijović, Đurđe, Srivastava, H. M., "Summation of a family of finite secant sums" in Applied Mathematics and Computation, 190, no. 1 (2007):590-598, https://doi.org/10.1016/j.amc.2007.01.054 . .