Question: Prove that f(x + iy) := ax + by+i(cx + dy) is a) Complex linear if and only if a = d and b

Prove that f(x + iy) := ax + by+i(cx + dy) is a) Complex linear if and only if a = d and b = -c. b) Complex differentiable if and only if it is complex linear.
Step by Step Solution
There are 3 Steps involved in it
a To prove that the function fx iy ax by icx dy is complex linear if and only if a d and b c we need ... View full answer
Get step-by-step solutions from verified subject matter experts
