α次导数与Cauchy型积分  

α-times Derivative and Cauchy Form Integral

作　　者：王涛[1] 赵宜宾[2] 刘瑞芹[1] 

机构地区：[1]华北科技学院基础部 [2]防灾科技学院基础部

出　　处：《数学的实践与认识》2010年第3期228-232,共5页Mathematics in Practice and Theory

基　　金：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)

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.In this paper, We define the α-times Derivative of the image function of the Laplace transform, and the α is a arbitrary real number. After that, we give the properties of the α-times Derivative, hereunder, we built the relation between the α-times Derivative and the complex contour integral, and give the calculating expressions of a type of Cauchy form Integral.

关 键 词：LAPLACE变换 复围道积分 CAUCHY型积分 

分 类 号：O172[理学—数学]