2082 Kartik2080 Chaitra2075 BhadraChapter 1: Complex Analysis1.1 Complex Analytic Functions
Define harmonic function of a complex variable. Show that u(x, y) = y3 − 3x2y is harmonic and find its corresponding analytic function.
SH 551 · Chapter 1
Define harmonic function of a complex variable. Show that u(x, y) = y3 − 3x2y is harmonic and find its corresponding analytic function.
Prove that u = x3 − 3xy2 is a harmonic function and construct the analytic function f(z) = u + iv.
Define harmonic function. Determine the analytic function f(z) = u + iv if u = 3x2y − y3.