Express f in terms of z instead of x and y separately

Assignment Help Mathematics

Reference no: EM13838496

z = x + iy

f(z) = u(z) + iv(z)

Given Re(f) = u

A) use laplacian to find out if f can be made an analytic function, with suitable choice for v

B) if the answer to A is yes, find v and f'

If the answer to A is no, assume v = 0 and find where (if anywhere) f' exists

C) express f in terms of z, instead of x and y separately

Answer the following:

1. u = x + y

2. u = x^2 + y^2 + 1

Please show steps

Reference no: EM13838496

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