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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
Normality Criteria for Quasimeromorphic Mappings: Avoidance and Sharing
Gopal Datt, Kushal Lalwani, Ashish Kumar Trivedi
We establish normality criteria for families of quasimeromorphic mappings in \(\mathbb{R}^n\), \(n\geq 2\), based on the avoidance and sharing of continuous functions. We first est…
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…