Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
Explicit formulae for computing Euler polynomials in terms of Stirling numbers of the second kind
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DOI：
10.1016/j.cam.2014.05.018
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发表时间：
2013-10
期刊：
影响因子：
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通讯作者：
Bai-Ni Guo (郭白妮);Feng Qi (祁锋)
中科院分区：
文献类型：
--
作者：
Bai-Ni Guo (郭白妮);Feng Qi (祁锋)
初步统一和推广了涉及函数±1 e±t− 1及其导数的8个恒等式.利用其中的一个恒等式，建立了用第二类斯特林数计算欧拉多项式和双参数欧拉多项式的两个显式公式.
In the paper, the authors elementarily unify and generalize eight identities involving the functions±1 e±t− 1 and their derivatives. By one of these identities, the authors establish two explicit formulae for computing Euler polynomials and two-parameter Euler polynomials, which are a newly introduced notion, in terms of Stirling numbers of the second kind.