Open Access
October 2015 Two normality criteria and counterexamples to the converse of Bloch's principle
Kuldeep Singh Charak, Virender Singh
Kodai Math. J. 38(3): 672-686 (October 2015). DOI: 10.2996/kmj/1446210601

Abstract

In this paper, we prove two normality criteria for a family of meromorphic functions. The first criterion extends a result of Fang and Zalcman [Normal families and shared values of meromorphic functions II, Comput. Methods Funct. Theory, 1 (2001), 289-299] to a bigger class of differential polynomials whereas the second one leads to some counterexamples to the converse of the Bloch's principle.

Citation

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Kuldeep Singh Charak. Virender Singh. "Two normality criteria and counterexamples to the converse of Bloch's principle." Kodai Math. J. 38 (3) 672 - 686, October 2015. https://doi.org/10.2996/kmj/1446210601

Information

Published: October 2015
First available in Project Euclid: 30 October 2015

zbMATH: 1335.30010
MathSciNet: MR3417528
Digital Object Identifier: 10.2996/kmj/1446210601

Rights: Copyright © 2015 Tokyo Institute of Technology, Department of Mathematics

Vol.38 • No. 3 • October 2015
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