论文摘要在线翻译！急求帮助！！！

Analytic functions of complex variable function is the main object of study, and the analytic functions of the five equivalent conditions throughout our complex function of the whole process of learning, so we will be analytic functions of the five equivalent conditions for further research, this article gives the analytic function followed by the five equivalent conditions and five nature, and through their mutual equivalence of the proof leads to the equivalent conditions of analytic functions and the nature of the relationship between the revealed more in-depth analytic function of the meaning of the concept, demonstrating the analytic functions of complex variable function in the importance of learning.

The analytic function is the complex variable function discusses the main object of study, but analytic function's five conditions of equivalence passed through us to discuss the study to the complex variable function the entire process, therefore we will do the further