let-f-z-n-0-a-n-z-n-a-0-1-a-1-3-and-n-2-a-n-3a-n-1-2-a-n-2-find-f-z-for-z-lt-1-z-C-

Question Number 30550 by abdo imad last updated on 23/Feb/18

l e t f (z) = \sum_{n ⩾ 0} a_{n} z^{n} / a_{0} = 1, a_{1} = 3 a n d \forall n ⩾ 2

a_{n} = 3 a_{n - 1} - 2 a_{n - 2} f i n d f (z) f o r ∣ z ∣< 1 (z \in C) .