2082 Kartik2080 Chaitra2075 BhadraChapter 1: Complex Analysis1.1 Complex Analytic Functions
Define harmonic function of a complex variable. Show that $u(x,y)=y^3-3x^2y$ is harmonic and find its corresponding analytic function.
SH 551 · Chapter 1
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Define harmonic function of a complex variable. Show that $u(x,y)=y^3-3x^2y$ is harmonic and find its corresponding analytic function.
Prove that $u=x^3-3xy^2$ 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 $u=3x^2y-y^3$.