Question

There exists no analytic functions f such that​

Answer 1

Answer:

Show that there are no analytic functions f=u+iv with u(x,y)=x2+y2. ... Now since f is analytic therefore it must be differentiable and must satisfy the Cauchy Riemann equations ux=vy and uy=−vx.

Step-by-step explanation:

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Answer 2

Answer:

=>v=−2xy+g(y)

=>2xy+h(x)=−2xy+g(y)

=>4xy+h(x)=g(y)