一种新的解析函数判定定理及其在多复变中的推广

A New Deciding Theorem of Analytic Function and Its Extension in Several Complex Variables

改造柯西-黎曼条件,给出了一种新的更为简单直观的解析性判定定理,证明了这个判定定理与柯西-黎曼方程的等价性.

This paper improves the Cauchy-Riemann condition and puts forward a new analytic deciding necessary and sufficient condition which is simpler and more visible;the equivalence of the new deciding theorem and Cauchy-Riemann equation is proved.