Open Access
2018 A Simple Estimate of the Bloch Constant
Mitsuo Izuki, Takeshi Koyama, Takahiro Noi, Tatsuki Takeuchi
Commun. Math. Anal. 21(1): 35-41 (2018).

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.

Citation

Download Citation

Mitsuo Izuki. Takeshi Koyama. Takahiro Noi. Tatsuki Takeuchi. "A Simple Estimate of the Bloch Constant." Commun. Math. Anal. 21 (1) 35 - 41, 2018.

Information

Published: 2018
First available in Project Euclid: 9 May 2018

zbMATH: 1391.30042
MathSciNet: MR3789416

Subjects:
Primary: 30C80 , 30D20

Keywords: Bloch constant , Bloch theorem , the Cauchy estimate , the maximum modulus principle , the Rouché theorem , the Schwarz lemma

Rights: Copyright © 2018 Mathematical Research Publishers

Vol.21 • No. 1 • 2018
Back to Top