Math Problem Statement
Prove that (+) Re(f(z))² = 2lf'(z)|² where f(z) is analytic.
Solution
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Math Problem Analysis
Mathematical Concepts
Complex Analysis
Analytic Functions
Cauchy-Riemann Equations
Formulas
Re(f(z))^2
|f'(z)|^2
f'(z) = df/dz = ∂u/∂x + i ∂v/∂x
Theorems
Cauchy-Riemann Equations
Modulus of a Derivative
Suitable Grade Level
University Level (Advanced Complex Analysis)
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