| α次导数与Cauchy型积分 |
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| 引用本文： | 王涛,赵宜宾,刘瑞芹.α次导数与Cauchy型积分[J].数学的实践与认识,2010,40(3). |
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| 作者姓名： | 王涛 赵宜宾 刘瑞芹 |
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| 作者单位： | 1. 华北科技学院基础部,北京,065201
2. 防灾科技学院基础部,北京,065201 |
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| 基金项目： | 工科类专业应用型人才培养复变函数与积分变换课程教学内容改革与教学资源建设(FIB070335-A2-16) |
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| 摘 要： | 定义Laplace变换的像函数的任意实数次导数,同时给出了α次导数的性质,并建立了它和复围道积分的联系,给出了一类Cauchy型积分的计算公式.
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| 关 键 词： | Laplace变换 复围道积分 Cauchy型积分 |
α-times Derivative and Cauchy Form Integral |
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| WANG Tao,ZHAO Yi-bin,LIU Rui-qin.α-times Derivative and Cauchy Form Integral[J].Mathematics in Practice and Theory,2010,40(3). |
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| Authors: | WANG Tao ZHAO Yi-bin LIU Rui-qin |
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| Institution: | WANG Tao~1,ZHAO Yi-bin~2,LIU Rui-qin~1 (1.Department of Basic Course,North China Institute of Science , Technology,Beijing 065201,China) (2.Department of Basic Course,Institute of Disaster Prevention Science , Technology,China) |
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| Abstract: | In this paper,we define theα-times Derivative of the image function of the Laplace transform,and theαis a arbitrary real number.After that,we give the properties of theα-times Derivative,hereunder,we built the relation between theα-times Derivative and the complex contour integral,and give the calculating expressions of a type of Cauchy form Integral. |
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| Keywords: | laplace transform complex contour integral cauchy form Integral |
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