Question

Show that the function 2xy +i(x^2+y^2) is an analytic function.

Answer 1

Step-by-step explanation:

2cyCheck whether the function defined by f(z)=2xy+i(x2−y2) is analytic or not. Sufficient condition for a function being analytic: The sufficient condition ...

2 votes

For z=x+iy we have f(z)=2xy+i(x2−y2)=iˉz2 is not analytic. Since ∂ˉzf≠0.