Abstract
Let be the -dimensional vector space over Q. From the property of the basis for the space , we derive some interesting identities of higher-order Bernoulli polynomials.
Highlights
Let N = {, . . .} and Z+ = N ∪ { }
*Correspondence: taekyun64@hotmail.com 2Department of Mathematics, Kwangwoon University, Seoul, 139-701, Republic of Korea Full list of author information is available at the end of the article
From the property of the basis B(0r), B(1r), . . . , B(nr) for the space Pn, we derive some interesting identities of higher-order Bernoulli polynomials
Summary
*Correspondence: taekyun64@hotmail.com 2Department of Mathematics, Kwangwoon University, Seoul, 139-701, Republic of Korea Full list of author information is available at the end of the article B(nr) for the space Pn, we derive some interesting identities of higher-order Bernoulli polynomials. For a fixed r ∈ Z+, the nth Bernoulli polynomials are defined by the generating function to be t et – By ( ) we get the Euler-type sums of products of Bernoulli numbers as follows: Bn(r) =
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