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math.CV2025
A Function-Sharing Criterion for Normal Functions
Gopal Datt, Ritesh Pal, Ashish Kumar Trivedi
In this paper, we present a function-sharing criterion for the normality of meromorphic functions. Let be a meromorphic function in the unit disc …
math.CV2025
Dynamics of complex harmonic mappings
Gopal Datt, Ramanpreet Kaur
This note initiates the study of the Fatou\,--\,Julia sets of a complex harmonic mapping. Along with some fundamental properties of the Fatou and the Julia sets, we observe some co…
math.CV2024
Normal Families of Holomorphic Curves and Sharing of Moving Hyperplanes Wandering on
Gopal Datt, Naveen Gupta, Nikhil Khanna +1
In this paper, we extend a result of Schwick concerning normality and sharing values in one complex variable for families of holomorphic curves taking values in . We…