基于柯西型K-积分性质及其应用探讨

Properties and Applications of K-integral Based on Cauchy Type

复积分是研究解析函数的一个重要工具,在复积分的研究过程中,延伸出了很多重要的知识。通过定义复变函数的K-积分、K-复数、K-留数等,并对柯西型K-积分的相关性质进行探讨。研究发现,柯西型K-积分的相关性质是柯西型积分的相关性质在K-积分中的应用,该结论是对复变函数K-积分理论的补充。

Complex integral is an important tool to study analytic functions.During the study of complex integral,a lot of important knowledge has been extended.By defining the K-integral,K-complex number,K-residue,this paper discusses the related properties of Cauchy type K-integral.It is found that the correlation property of Cauchy type K-integral is the application of the correlation property of Cauchy type integral in K-integral.