Let f : ℂ → ℂ be an analytic function. Then which of the following statements are true?
1
If |f(z)| ≤ 1 for all z ∈ ℂ, then f' has infinitely many zeros in ℂ
2
If f is onto, then the function f(cos z) is onto
3
If f is onto, then the function f(ez) is onto
4
If f is one-one, then the function f(z4 + z + 2) is one-one