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2014 A study on the integral of the product of several Bernoulli polynomials
Dae San Kim, Taekyun Kim
Rocky Mountain J. Math. 44(4): 1251-1263 (2014). DOI: 10.1216/RMJ-2014-44-4-1251

Abstract

The purpose of this paper is to give some properties of several Bernoulli polynomials to express the integral of those polynomials from 0 to 1 in terms of beta and gamma functions. From those properties, we derive some relations on the integral of the product of Bernoulli polynomials and new identities on the Bernoulli numbers.

Citation

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Dae San Kim. Taekyun Kim. "A study on the integral of the product of several Bernoulli polynomials." Rocky Mountain J. Math. 44 (4) 1251 - 1263, 2014. https://doi.org/10.1216/RMJ-2014-44-4-1251

Information

Published: 2014
First available in Project Euclid: 31 October 2014

zbMATH: 1328.11029
MathSciNet: MR3274347
Digital Object Identifier: 10.1216/RMJ-2014-44-4-1251

Rights: Copyright © 2014 Rocky Mountain Mathematics Consortium

Vol.44 • No. 4 • 2014
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