u(x.y)+ iv(xiy) and I=x+ a) for function w show the providing the condition of Vu• Tv =O (in here ý it a clel operator and known as V: +2. Because of that Vu= ↑ d4 + ê au to be analatic ay is like...

Extracted text: u(x.y)+ iv(xiy) and I=x+ a) for function w show the providing the condition of Vu• Tv =O (in here ý it a clel operator and known as V: +2. Because of that Vu= ↑ d4 + ê au to be analatic ay is like this. For exomple known as Vv) b) for function w to be an harmonic function it has to be analatic, sa Show the prouicling the conditions of Couchy-Riemann (Hint : one u(xiy) tunction is harmonic so it provides the = 0. In this case, u and v condition s of : in separated Should provicle the harmonic conditions.)