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math.CV2020
Fatou and Julia like sets II
Kuldeep Singh Charak, Anil Singh, Manish Kumar
This paper is a continuation of authors work: Fatou and Julia like sets,Ukranian J. Math., to appear/arXiv:2006.08308[math.CV](see [4]). Here, we introduce escaping like set and ge…
math.CV2020
Fatou and Julia like sets
Kuldeep Singh Charak, Anil Singh, Manish Kumar
For a family of holomorphic functions on an arbitrary domain, we introduce Fatou and Julia like sets, and establish some of their interesting properties.
math.CV2020
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…