历安毛子代枚大学 XIDIAN UNIVERSITY 因为△Zk=乙k-Zk-1=Xx+yk-(化k-+yk-1) =△比k+iyk, 所以∑f5x)AzE k=1 =2u(5,x)+iv5,7:l△+) =2Iu(5,x)Ax&-5,n:)Al +i∑Iy(5,1k)△x+u(5k,nk)Ay] 场论与复变函数Field Theory and Complex Variable Functions 11 场论与复变函数 Field Theory and Complex Variable Functions 11 ( ) k k k1 k k k1 k1 因为 z z z x iy x iy , k k x iy k n k k f z 1 所以 ( ) n k k k k k k k u i v x i y 1 [ ( , ) ( , )]( ) n k k k k k k k n k k k k k k k i v x u y u x v y 1 1 [ ( , ) ( , ) ] [ ( , ) ( , ) ]