Commun. Math. Anal.
Volume 21, Number 1 (2018), 35 - 41
A Simple Estimate of the Bloch Constant
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.