[複變] 兩題複變
1.Find out whether f(z) is continuous at z=0 if f(z)=0 and for z≠0 the
function f is equal to [Im(z^2)] /｜z｜.
題目是要證明f(z)在z=0是否連續嗎??
2.Is the function analytic ? f(z) = Im(z^2)
我是令z= x+iy , z^2 = (x^2 - y^2) + i(2xy)
所以Im(z^2) = 2xy
再用cauchy-reimann 令 u(x,y) = 2xy , v(x,y) = 0
Ux ≠ Vy 所以f(z)不可解析
是這樣嗎 = = 感覺有點莫名的簡單
會怕怕的
希望知道的人可以幫忙看一下
QQ
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