An improvement of Zalcman's lemma in $C^n$
P.V.Dovbush
TL;DR
This paper presents an improved version of Zalcman's lemma in the context of complex analysis in several variables, offering a refined tool for studying normal families of holomorphic functions.
Contribution
It provides a new proof that enhances Zalcman's lemma, extending its applicability in complex analysis in multiple dimensions.
Findings
Refined version of Zalcman's lemma proved
Enhanced tool for analyzing normal families
Potential applications in complex dynamics
Abstract
The aim of this paper is to give a proof of improving of Zalcman's lemma.
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Taxonomy
TopicsFixed Point Theorems Analysis · Meromorphic and Entire Functions