# Homework Help: Gauss hypergeometric series

1. Apr 12, 2012

### Ted123

1. The problem statement, all variables and given/known data

Express $$\sum_{n=0}^{\infty} \frac{1}{(\frac{2}{3})_n} \frac{(z^3/9)^n}{n!}$$ in terms of the Gauss hypergeometric series.

2. Relevant equations

The Gauss hypergeometric series has 3 parameters a,b,c: $$_2 F_1 (a,b;c;z) = \sum_{n=0}^{\infty} \frac{(a)_n(b)_n}{(c)_n}\frac{z^n}{n!}$$

3. The attempt at a solution

I can express it as a hypergeometric series: $_0 F_1 (-,-;\frac{2}{3};\frac{z^3}{9})$ but my question is specific in saying it wants it expressed in terms of the Gauss hypergeometric series which has 3 parameters, not 1. I'm stuck as how to do this?