摘要
设z=x+iy,w=u+iv,则w=f(z)=u(x,y)+iv(x,y),所以一个复变函数w=f(z)相当于定义两个二元函数u=u(x,y)和v=v(x,y),讨论一个复变函数的极限与连续性就相当于讨论两个二元函数的极限与连续性.所以复变函数与二元函数在某些概念、结论上有一定的相似之处,因此有必要比较复变函数与二元函数的某些分析性质.
Let z=x+iy,w=u+iv,then w=f(z)=u(x,y)+iv(x,y).Therefore a complex function w=f(z)is equivalent to the definition of the two binary function u=u(x,y)and v=v(x,y).And the discussion of the limit and continuous property of a complex function,in some degree,is equivalent to the discussion of the same property of two binary function.So,some concepts and properties between them are similar,and there is necessity of comparing some analysis properties of complex function with two binary function.
出处
《吕梁高等专科学校学报》
2010年第2期4-6,共3页
Journal of Luliang Higher College
关键词
复变函数
二元函数
极限
连续
complex function
the binary function
limit
continuous