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A Simple Estimate of the Bloch Constant

Commun. Math. Anal.
Volume 21, Number 1 (2018), 35 - 41

A Simple Estimate of the Bloch Constant

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Abstract

Our aim is to give a simple estimate of the Bloch constant applying some fundamental facts on complex analysis. Our method is based on the Cauchy estimate, the maximum modulus principle, the Schwarz lemma and the Rouche theorem.