# Mittag-Lefflerov razvoj

Miletić, Mladena (2014) Mittag-Lefflerov razvoj. Diploma thesis, Faculty of Science > Department of Mathematics.

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Language: Croatian

For each point s of a discrete subset $S$, which is the subset of $\mathbb{C}$, we are given the main part of Laurent series $h_s \left( \frac{1}{z-s} \right)$. We have proved that then there exists an analytic function $f : \mathbb{C} \backslash S \to \mathbb{C}$ which in points $s \in S$ has got the given main part of Laurent series $h_s \left( \frac{1}{z-s} \right)$. Mathematical statements have been proved for infinite and finite $S$ set.