| m阶积分算子及其应用 |
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| 引用本文： | 王浚岭.m阶积分算子及其应用[J].三峡大学学报(人文社会科学版),1998(1). |
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| 作者姓名： | 王浚岭 |
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| 摘 要： | 本文引人m阶积分算子，给出函数乘积u（x）．v（x）的m阶积分公式，此公式将函数乘积u(X)．v（x）的n阶导数的Leibniz公式推广到n为负整数情形，此公式同时也是函数f（x）的Taylor公式及Taylor级数的一种推广．
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| 关 键 词： | 微分算子 m阶积分算子 Taylor级数 广义二项系数 |
The m-Order Integral Operator and Its Application |
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| Wang Junling.The m-Order Integral Operator and Its Application[J].Journal of China Three Gorges University(Humanities & Social Sciences),1998(1). |
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| Authors: | Wang Junling |
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| Institution: | Department of Mathematics |
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| Abstract: | In the paper, the m-order integral formulas of function product are given. The formulas extend derivatives of n-older Leibniz formula about function product to the conditions aboutnegative whole number. In addition, the formulas are also the extensions of Taylor Formula and TaylorSeries. |
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| Keywords: | Derivative Operator Integral Operator Taylor Series Generalized binomial coefficient |
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