7 citations · 18 across the 15 of their papers we have counts for
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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…
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…
Lappan's five-point theorem for ϕ-Normal Harmonic Mappings
Nisha Bohra, Gopal Datt, Ritesh Pal
A harmonic mapping in is -normal if where $f^{\#}(z)={(|h'(z)|+|g'(z)|)}/{(1+|f(z)|^2)}.…
Ascent and Descent of Weighted Composition Operators on Lorentz spaces
Gopal Datt, Daljeet Singh Bajaj
The aim of this article is to detect the ascent and descent of weighted composition operators on Lorentz spaces. We investigate the conditions on the measurable transformation …