Some identities for the product of two Bernoulli and Euler polynomials

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作者
Dae San Kim
Taekyun Kim
Sang-Hun Lee
Young-Hee Kim
机构
[1] Sogang University,Department of Mathematics
[2] Kwangwoon University,Department of Mathematics
[3] Kwangwoon University,Division of General Education
关键词
Differential Equation; Positive Integer; Linear Combination; Partial Differential Equation; Ordinary Differential Equation;
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摘要
Let ℙn be the space of polynomials of degree less than or equal to n. In this article, using the Bernoulli basis {B0(x), . . . , Bn(x)} for ℙn consisting of Bernoulli polynomials, we investigate some new and interesting identities and formulae for the product of two Bernoulli and Euler polynomials like Carlitz did.
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