A STUDY ON THE INTEGRAL OF THE PRODUCT OF SEVERAL BERNOULLI POLYNOMIALS

作者:Kim Dae San*; Kim Taekyun
来源:Rocky Mountain Journal of Mathematics, 2014, 44(4): 1251-1263.
DOI:10.1216/RMJ-2014-44-4-1251

摘要

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.

  • 出版日期2014