Bernoulli Polynomials and Convolution Sums

Aeran Kim

doi:10.9734/BJMCS/2014/6716

Research Article Open access CC BY 3.0

Bernoulli Polynomials and Convolution Sums

Aeran Kim

Journal of Advances in Mathematics and Computer Science · pp. 363–374 · Published 7 Nov 2013

10.9734/BJMCS/2014/6716

Abstract

In this paper, we study the summations P (a,b,c)EN3 (f(a + b) + f(b + c) + f(c + a)) and P(a;b;c;d)2N4 (f(a + b + c) + f(b + c + d) + f(c + d + a)). Especially, for the first summation we obtain some relations related to Bernoulli and Euler polynomials.

Convolution sum Bernoulli polynomials.

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Aeran Kim (2013). Bernoulli Polynomials and Convolution Sums. Journal of Advances in Mathematics and Computer Science , 363–374. https://doi.org/10.9734/BJMCS/2014/6716

Affiliations

Aeran Kim — Department of Mathematics, Chonbuk National University, Chonju, Chonbuk 561-756, South Korea.

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