The 'infinite product' of is...
(1)
... and from (1) we derive...
(2)
Setting in (2) we obtain...
(3)
Kind regards
1. Find the value of Π(from n=1 to infinity) (1 + 1/n^2).
I know that I need to use the product expansion for sin πz but i do not know what to do
2. Suppose that p is a polynomial of degree n and that |p(z)| ≤ M if |z| = 1. Show that |p(z)| ≥ M|z|^n if |z|≥ 1.
I don't know how to solve this T-T
Plz help me!!!
If [i.e. the polynom ial is not a constant...], that is a particular case of Liouville's theorem...
http://en.wikipedia.org/wiki/Liouvil...mplex_analysis)
Kind regards