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Meromorphic

Revision as of 02:06, 29 June 2006 by ComplexZeta (talk | contribs)

Let $D\subseteq\mathbb{C}$ be a domain in the complex plane. A function on $D$ is said to be meromorphic if it can be written as $f(z)=\frac{g(z)}{h(z)}$ wherever $h(z)\neq 0$, where $g$ and $h$ are holomorphic on $D$. Furthermore, it is required that $h$ have isolated zeros.

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