Please help with this problem:
let f be an entire function such that f(5z) = 5f(z). Prove that f is linear.
Thank you for your response. I still have 3 questions for this problem. Please help. Thank you.
1. When I write the terms out, do I match term by term?
2. the coefficient a_n on the left side is the same as the coefficient on the right side?
3. Do I need to use the chain rule to find a_n for f(5z)?