Integrals of products of Bernoulli polynomials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:381

Article

Agoh, Takashi²  Dilcher, Karl¹ 

[1] Dalhousie Univ, Dept Math & Stat, Halifax, NS B3H 4R2, Canada

[2] Tokyo Univ Sci, Dept Math, Chiba 2788510, Japan

关键词: Bernoulli polynomials;    Bernoulli numbers;    Integrals;    Recurrence relations;   

DOI  :  10.1016/j.jmaa.2011.03.061

来源: Elsevier

【 摘 要 】

Extending known results on integrals of products of two or three Bernoulli polynomials with limits of integration 0 and 1, we obtain identities for such integrals with limits of integration 0 and x, for a variable x. As applications we obtain certain quadratic and cubic identities for Bernoulli polynomials. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free