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Homework Help: Gauss hypergeometric series

  1. Apr 12, 2012 #1
    1. The problem statement, all variables and given/known data

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

    2. Relevant equations

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

    3. The attempt at a solution

    I can express it as a hypergeometric series: [itex]_0 F_1 (-,-;\frac{2}{3};\frac{z^3}{9})[/itex] 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?
  2. jcsd
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