Consider the following complex function f (z) = |z|2 – 2Re(iz) + z (i) Evaluate the given function f (z) at the points (a) 1 – 2i amd (b) 4 + 3i (ii) Find the real and imaginary parts u and v of the given complex functionf as functions of x and y.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Consider the following complex function
f(z) = |z|2 – 2Re(iz) + z
-
(i)
Evaluate the given function f (z) at the points (a) 1 – 2i and (b) 4 + 3i
(ii) Find the real and imaginary parts u and v of the given complex function f as
functions of x and y.
Transcribed Image Text:Consider the following complex function f(z) = |z|2 – 2Re(iz) + z - (i) Evaluate the given function f (z) at the points (a) 1 – 2i and (b) 4 + 3i (ii) Find the real and imaginary parts u and v of the given complex function f as functions of x and y.
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