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


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

1 Expert Approved Answer
Step: 1 Unlock

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

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!