Summation of a family of finite secant sums
نویسندگان
چکیده
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. 2007 Elsevier Inc. All rights reserved.
منابع مشابه
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In our recent paper with Srivastava [D. Cvijović, H.M. Srivastava, Summation of a family of finite secant sums, Appl. Math. Comput. 190 (2007) 590–598] a remarkably general family of the finite secant sums was 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 extended and...
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ورودعنوان ژورنال:
- Applied Mathematics and Computation
دوره 190 شماره
صفحات -
تاریخ انتشار 2007