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Counterexamples to Bloch's Principle and its Converse in Several Complex Variables
Kuldeep Singh Charak, Rahul Kumar
In this paper, besides a counterexample to Bloch's principle, normality criteria leading to counterexamples to the converse of Bloch's principle in several complex variables are pr…
Normality from one family of meromorphic functions to another through sharing of values
Kuldeep Singh Charak, Manish Kumar, Rahul Kumar
Let F and G be two families of meromorphic functions on a domain D, and let a, b and c be three distinct points in the extended complex plane. Let G be a normal family in D such th…
Some variations on an extension of Caratheodory's normality criterion
Kuldeep Singh Charak, Rahul Kumar
In this note we give some variations on an extension of Caratheodory's normality criterion due to Grahl and Nevo.
Some Normality Criteria for Families of Holomorphic Functions of Several Complex Variables
Kuldeep Singh Charak, Rahul Kumar
We prove a Zalcman-Pang lemma in several complex variables and apply it to obtain several complex variables analogues of the known normality criteria like Lappan's five-point theor…