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| 高阶多元Euler多项式和高阶多元Bernoulli多项式 | |
| 引用本文： | 刘国栋.高阶多元Euler多项式和高阶多元Bernoulli多项式[J].应用数学和力学,1998(9). |
| 作者姓名： | 刘国栋 |
| 作者单位： | 惠州大学数学系 |
| 摘 要： | 本文给出了高阶多元Ｅｕｌｅｒ数和多项式与高阶多元Ｂｅｒｎｏｕｌｉ数和多项式的定义，讨论了它们的一些重要性质，得到了高阶多元Ｅｕｌｅｒ多项式（数）和高阶多元Ｂｅｒｎｏｕｌｉ多项式（数）的关系式· |
| 关 键 词： | 高阶多元Euler数 高阶多元Euler多项式 高阶多元Bernoulli数 高阶多元Bernoulli多项式 |
Higher-Order Multivariable Euler's Polynomial and Higher-Order Multivariable Bernoulli's Polynomial |
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| Liu Guodong.Higher-Order Multivariable Euler's Polynomial and Higher-Order Multivariable Bernoulli's Polynomial[J].Applied Mathematics and Mechanics,1998(9). | |
| Authors: | Liu Guodong |
| Abstract: | In this paper, the definitions of both higher-order multivariable Euler's numbers and polynomial, higher-order multivariable Bernoulli's numbers and polynomial are given and some of their important properties are expounded. As a resut, the mathematical relationship between higher-order multivariable Euler's polynomial (numbers) and higher-order multivariable Bernoulli's polynomial (numbers) are thus obtained. |
| Keywords: | higher-order multivariable Euler's numbers highe-order multivariable Euler's polyn-omial higher-order multivariable Bernoulli's numbers higher-order multivariable Bernoulli's polynomial |
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