Let be a real-differentiable function and define u(x, y) = Re f(x + iy), v(x, y) = Im f(x + iy). Let denote the gradient. Which one of the following is necessarily true?
Part BCSIR NET December 2023cr-orthogonality
Cr orthogonality
Related counterexample: A harmonic function on any domain has a harmonic conjugate
- conjugation and analyticityJune 2023
- Part B questionDecember 2023
From Analytic Functions › Cauchy–Riemann equations, harmonic functions