Question

An analytic function with constant modulus

Answer 1

Answer:

If f(z) is an analytic function with constant modulus, show that f(z) is constant? - Quora. Write f(z) =u(x,y) + i.v(x,y). As f(z) is analytic, by Cauchy-Riemann conditions, u_x = v_y and u_y = -v_x, where the subscripts denote partial differentiation.

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Answer 2

Step-by-step explanation:

An analytical function with constant modulus is always constant