[复变函数与积分变换].焦红伟&尹景本.文字版.PDF.pdf

G z b 定理 12 若 i i f z u x y v x y z g z x y 是

Info icon This preview shows pages 20–23. Sign up to view the full content.

g z B . 定理 1.2 0 0 0 ( ) ( , ) ( , )i, , i f z u x y v x y z G z x y = + = + G 的聚点,则 ( ) ( ) 0 lim z z z G f z A = 充分必要条件是 0 0 lim ( , ) Re x x y y u x y A = 0 0 lim ( , ) Im x x y y v x y A = i z x y G = + 0 0 i A u v = + ( ) 0 lim ( ) z z z G f z A = ,当 0 0 z z δ < < 0 0 0 ( i) ( i) x y x y δ < + + < 时有 0 0 ( i ) ( i ) u v u v ε + + < 由于
Image of page 20

Info icon This preview has intentionally blurred sections. Sign up to view the full version.