3 papers
math.CV2026
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 est…
math.CV2025
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…
math.CV2024
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 the…