Q8 Suppose f z u x y iv x y is an analytic function where...
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Q8 Suppose f z u x y iv x y is an analytic function where u x y 4xy 4x y x is a harmonic function no need to prove Answer the following questions while clearly mentioning any theorems and or properties that you use to obtain the answers 15pts a Find a harmonic conjugate v x y of u x y b Find f z satisfying f 1 i 1 4i c Calculate f zo for zo 4e 4 60 2 2 3i
Q8 Suppose f z u x y iv x y is an analytic function where u x y 4xy 4x y x is a harmonic function no need to prove Answer the following questions while clearly mentioning any theorems and or properties that you use to obtain the answers 15pts a Find a harmonic conjugate v x y of u x y b Find f z satisfying f 1 i 1 4i c Calculate f zo for zo 4e 4 60 2 2 3i
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