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## Series that Begin with (a+b*i)^n [closed]

Since -1 = i^2 I thought that there could be some meaning behind alternating series that instead of begining with (-1)^n begin with (a+b*i)^n for a and b != 0; does anyone know where I can find out more about such a series? As an example,
$\sum _{n=0}^{\infty } \frac{(a+i b)^n}{n!}=e^{a+i b}$

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This site is for professional-level inquiries, and is not the right place to have your question addressed. Please read the faq for suggested alternative sites. – Todd Trimble Apr 15 2011 at 1:57