Hamonic and conjugate Harmonic uthons Thearom: The real and imaginary part of an anolytic tunchion are harmonic is anal>tic, then it should sastisy on differentiang unt and KR yY - adding 0 +0 2
It a function Gatisfies Laplase's equation P=0 , then it is called harmonic function u 16 satisfying Laplace's equ Hene, u is a harmonic funcdion Simlarly, differentiang wrt y and Adding 6
60, v is harmonic Example1 Is the iven funcion harmonic Solu-ion : Lap ales en uation IS 2. chu
dly1 2 Thereforeu is not hamonic
my name is Aishwarya Vitthal Hase. i am currently studying in fourth Year B tech engineering in Elecronics and telecommunication branch.