Bernoulli and Euler Polynomials in Clifford Analysis

被引：0
作者：
G.F. Hassan
L. Aloui
机构：
[1] Faculty of Science,Department of Mathematics
[2] Northern Borders University,Department of Mathematics
[3] Faculty of Science,Department of Mathematics
[4] University of Assiut,undefined
[5] Faculty of Sciences,undefined
[6] Northern Borders University,undefined
来源：
Advances in Applied Clifford Algebras | 2015年 / 25卷
关键词：
Bernoulli polynomials; Euler polynomials; special monogenic polynomials; Appell polynomials; umbral calculus;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we bring a new set of Bernoulli and Euler special monogenic polynomials. It is based on the umbral calculus adapted to the Clifford setting, which is equivalent to a polynomial representation using a special set of Appell polynomials. Also, we study the convergence properties (the effectiveness) for the Bernoulli and Euler polynomials in Clifford analysis. Finally, some results concerning the mode of increase (the order and type) for these sets are obtained.
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页码：351 / 376
页数：25
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