Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems Complex Analysis: Theory and Applications · Problem 3.3.5
Sequences, Series, and Fractals — Howell & Matthews
Mathematics — Complex Analysis · find-analytic-function-from-harmonic
Problem Find an analytic function f ( z ) = u ( x , y ) + i v ( x , y ) f(z) = u(x,y) + iv(x,y) f ( z ) = u ( x , y ) + i v ( x , y ) u ( x , y ) = y 3 − 3 x 2 y u(x,y) = y^3 - 3x^2 y u ( x , y ) = y 3 − 3 x 2 y u ( x , y ) = sin y sinh x u(x,y) = \sin y \sinh x u ( x , y ) = sin y sinh x v ( x , y ) = e y sin x v(x,y) = e^y \sin x v ( x , y ) = e y sin x v ( x , y ) = sin x cosh y v(x,y) = \sin x \cosh y v ( x , y ) = sin x cosh y Browse the problem library