Complex Analysis/Abel's Lemma: Revision history

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2 January 2025

  • curprev 12:0712:07, 2 January 2025 imported>Eshaa2024 5,509 bytes +5,509 New resource with "The '''Abelian Lemma '''is a Lemma (mathematics) used to investigate the convergence region of power series. It is named after Niels Henrik Abel. ==Abel's Lemma== Let <math>K_P := { z \in \mathbb{C} : P(z) = \sum_{k=0}^\infty a_k (z - z_0)^k \text{ converges} } \subseteq \mathbb{C}</math> be the region of convergence of the power series <math>P</math> given by: <math>P(z) =..."