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b) for function w to be an harmonic function it has to be analatic, s Show the prouicling the conditions of Cauchy-Riemann (Hint: one u(xiy) tunction is harmonic so it provides the condlition s of : u = =0. In this case, u and v %3D in separated Should prouicle the harmonic conditions.)

b) for function w to be an harmonic function it has to be analatic, s Show the prouicling the conditions of Cauchy-Riemann (Hint: one u(xiy) tunction is harmonic so it provides the condlition s of : u = =0. In this case, u and v %3D in separated Should prouicle the harmonic conditions.)

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.2: Length And Angle: The Dot Product
Problem 70EQ
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3) \e w- ly, u(x,y)+ iv(xiy) and I= X+ a) for function w to be analatic show the providing the a del operator and known as V: 2+2. Because of that Vu: au +i au ay -> condition of Vu• Vv =0 (in here it is like this. For exonmple known as Vv) b) for function w to be an harmonic function it has to be analatic, s Show the prouicling the conditions of Cauchy-Riemann (Hint: one u(xiy) function is harmonic so it provides the =0. In this case, u and v condition s of : u= gu in separated Should provicle the harmonic conditions.)
Transcribed Image Text:3) \e w- ly, u(x,y)+ iv(xiy) and I= X+ a) for function w to be analatic show the providing the a del operator and known as V: 2+2. Because of that Vu: au +i au ay -> condition of Vu• Vv =0 (in here it is like this. For exonmple known as Vv) b) for function w to be an harmonic function it has to be analatic, s Show the prouicling the conditions of Cauchy-Riemann (Hint: one u(xiy) function is harmonic so it provides the =0. In this case, u and v condition s of : u= gu in separated Should provicle the harmonic conditions.)
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