| 建立多项式函数方程的一种方法 |
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| 引用本文： | 卢勇.建立多项式函数方程的一种方法[J].赣南师范学院学报,2000(3):7-9. |
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| 作者姓名： | 卢勇 |
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| 作者单位： | 广东肇庆西江大学!广东肇庆526061 |
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| 摘 要： | 用高阶等差数列通项公式为引导 ,认识到K次多项式函数在n =1,2 ,…时的值所形成的数列是K阶等差数列 .反之 ,对一个未知函数方程的多项式函数f(x) ,如果能用试验的方式求得 f(x)在x =1,2 ,…时的值或一列等距点处的值 ,则由此函数值数列的通项公式来导出多项式f(x)的函数方程
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| 关 键 词： | 高阶等差数列 多项式 函数方程 |
A Method for Building Polynomial Functional Equations |
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| LU Yong.A Method for Building Polynomial Functional Equations[J].Journal of Gannan Teachers' College(Social Science(2)),2000(3):7-9. |
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| Authors: | LU Yong |
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| Abstract: | By the aid of the general formula for high order arithmetical series,we know that the series from the values of polynomial function of degree k at n=1,2,…is k order arithmetical series.On the other hand,if we can obtain the values of polynomials f(x) for an unknown functional equation either at X=1,2,…or at a series of isometry points tested,we can get the polynumial functional equation f(x) by the general formula of this series of functional values. |
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| Keywords: | high-order arithmetical series polynomial functional equation |
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