Thank you advance sir.

MAT314 - Complex Analysis HW5 Deadline: TBA Submission link: TBA Problem 1. Let a, b, c E C be three non-collinear complex numbers. Show that they form an equilateral triangle iff a2 + 62 + c2 = ab + be+ ca Problem 2. Let a, b E C be two complex numbers with the property: Rea 2 ao = 1 and a1 = -1. Find the radius of convergence of this power series and the function to which this series converges. Problem 4. Show that f" (2) = zf (2) , f' (0) =f(0) =1 has a unique entire solution. Problem 5. Find a "conformal map" f such that f ({z : [z| 0}) = {z : (z|