Abstract
Definition 14.1. Let \( a \in \mathbb{C} \) be an isolated singularity of a function f, so we have \( f \in H(\varDelta(a,0,r)) \) for some \( 0 < r \leq \infty \). By Theorem 13.2, the function f expands into a (uniquely determined) Laurent series centred at a:
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Isaev, A. (2017). Isolated Singularities of Holomorphic Functions (Continued). Characterisation of an Isolated Singularity via the Laurent Series Expansion. Orders of Poles and Zeroes. Casorati-Weierstrass’ Theorem. Isolated Singularities of Holomorphic Functions at ∞ and their Characterisation via Laurent Series Expansions . In: Twenty-One Lectures on Complex Analysis. Springer Undergraduate Mathematics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-68170-2_14
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DOI: https://doi.org/10.1007/978-3-319-68170-2_14
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