A Family of Two-Variable Derivative Polynomials for Tangent and Secant

A Family of Two-Variable Derivative Polynomials for Tangent and Secant
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DOI:
10.37236/2344
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发表时间:
2012-04
期刊:
Electron. J. Comb.
影响因子:
--
通讯作者:
Shi-Mei Ma
Shi-Mei Ma
中科院分区:
其他
文献类型:
--
作者:
Shi-Mei Ma

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本文介绍了一类关于正切和正割的二阶导数多项式。研究了该多项式族系数的生成函数。特别地,我们建立了这些生成函数和欧拉多项式之间的联系。
In this paper we introduce a family of two-variable derivative polynomials for tangent and secant. Generating functions for the coefficients of this family of polynomials are studied. In particular, we establish a connection between these generating functions and Eulerian polynomials.