Determine the points at which the function is not analytic.
The function is f(z)= 1/(z-2+3i). Do I split it to u and v and see if they satisfy the C-R equations or just set z-2+3i=0 => (x-2) + i(y+3)=0.
Determine the points at which the function is not analytic.
The function is f(z)= 1/(z-2+3i). Do I split it to u and v and see if they satisfy the C-R equations or just set z-2+3i=0 => (x-2) + i(y+3)=0.
The function is not analytic when the denominator is zero, i.e. $\displaystyle z=2-3i$ while it is analytic anywhere else.