A New Formula of Products of the Apostol–Bernoulli and Apostol–Euler Polynomials
A New Formula of Products of the Apostol–Bernoulli and Apostol–Euler Polynomials
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DOI：
10.1007/s40840-015-0232-z
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发表时间：
2015-09
影响因子：
1.2
通讯作者：
Yuan He
中科院分区：
文献类型：
--
作者：
Yuan He
本文对apostoll - bernoulli多项式和apostoll - euler多项式进行了进一步的研究，并应用生成函数法和一些求和变换技术，建立了apostoll - bernoulli多项式和apostoll - euler多项式乘积的新公式。结果表明，一些已知结果是作为特殊情况得到的。
In this paper, a further investigation for the Apostol–Bernoulli and Apostol–Euler polynomials is performed, and a new formula of products of the Apostol–Bernoulli and Apostol–Euler polynomials is established by applying the generating function methods and some summation transform techniques. It turns out that some known results are obtained as special cases.