4 papers
A Zalcman-Pang type rescaling result for -normal harmonic mappings and applications
Kuldeep Singh Charak, Pratiksha, Nikhil Bharti
We investigate normality and -normality criteria for harmonic mappings in the unit disk. A new sufficient condition for normality involving extended spherical derivatives is es…
A Note on Normal Families Concerning Nonexceptional Functions and Differential Polynomials
Nikhil Bharti, Anil Singh
We study normality of a family of meromorphic functions, whose differential polynomials satisfy a certain condition, which significantly improves and generalizes some recent result…
Results on normal harmonic and -normal harmonic mappings
Nikhil Bharti, Nguyen Van Thin
In this paper, we study the concepts of normal functions and -normal functions in the framework of planar harmonic mappings. We establish the harmonic mapping counterpart of th…
Weighted Yosida Mappings of Several Complex Variables
Nikhil Bharti, Nguyen Van Thin
Let be a complete complex Hermitian manifold with metric and let be positive function such that $$γ_r=\sup\limits_{r\leq a<b}\le…