Kodai Mathematical Journal

Two normality criteria and counterexamples to the converse of Bloch's principle

Kuldeep Singh Charak and Virender Singh

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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.

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Kodai Math. J., Volume 38, Number 3 (2015), 672-686.

First available in Project Euclid: 30 October 2015

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Charak, Kuldeep Singh; Singh, Virender. Two normality criteria and counterexamples to the converse of Bloch's principle. Kodai Math. J. 38 (2015), no. 3, 672--686. doi:10.2996/kmj/1446210601. https://projecteuclid.org/euclid.kmj/1446210601

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