The harmonic conjugate to a function f is another function g such that
The harmonic conjugate to a function f is another function g such that f + ıg satis es these equations. Any u and v which satisfy these equations must also satisfy Laplace's equation in two dimensions, and these equations guarantee that any function satisfying them is   conformal. These equations, which require that the second partial derivatives of u and v with respect to x equal the respective negatives of those derivatives with respect to y, ensure that the derivative is independent of the orientation from which it is taken. Holomorphic functions satisfy, for ten points, which equations which comprise the criterion for a function to be complex di erentiable?
The harmonic conjugate to a function f is another function g such that
Cauchy-Riemann equations