Question

Use Cauchy Reimann equation to find the function is analytic and differential.

a)$f(z)= (x-y)^2 + \iota 2(x+y)$

Express the following in the form of (x+iy)

b)$(\sqrt3-\iota)^{}\frac{1}{4}}$

c) $(1+\iota\sqrt3)^\theta$