Difficult series

  1. I know:

    [tex]\sum_{n=0}^\infty \frac{x^n}{n!}=e^x [/tex]

    However, is there a similar solution for:

    [tex]\sum_{n=0}^\infty \left(\frac{x^n}{n!}\right)^2 [/tex]

    Thanks in advance; I'm not very good at this kind of maths (I teach statistics :devil:), and I've been struggling with this one for a while.
    Last edited: Dec 10, 2009
  2. jcsd
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