3 papers
math.CV2026
Extension of Lohwater-Pommerenke's Theorem for strongly-normal Maps
Gopal Datt, Rahul Gogoi
We introduce strong normality for holomorphic curves and logharmonic mappings, extending classical normality concepts. We establish an extension of the rescaling characterization d…
math.CV2026
Avoidance criteria for normality of quasiregular mappings
Gopal Datt, Kushal Lalwani, Ashish Kumar Trivedi
Peter Lappan in [9] proved that for each , let and be three continuous functions on $\mathbb{D}:=\{z\in \mathbb{C} : |…
math.CV2026
Avoidance Criteria for Normal Holomorphic Curves on Complex Projective Space
Gopal Datt, Rahul Gogoi, Kushal Lalwan
We establish an avoidance criterion for families of holomorphic curves from the unit disk in complex plane to the complex projective space that omit sufficiently many moving hypers…