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

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.

preprint2014arXivOpen access
Kuldeep Singh CharakVirender Singh
math.CV
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Open access2 authors1 topic
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Kuldeep Singh CharakVirender Singh

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