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Rahul Gogoi

Publications and source records attributed to Rahul Gogoi.

2 recordsLinked to original sources
arXiv2026

Extension of Lohwater-Pommerenke's Theorem for strongly-normal Maps

We introduce strong normality for holomorphic curves and logharmonic mappings, extending classical normality concepts. We establish an extension of the rescaling characterization due to Lohwater and Pommerenke for not strongly-normal maps. In addition, we also study the Bloch mappings, little-Bloch mappings and prove Zalcman-Pang type rescaling results for them. The framework is further extended to strongly $\varphi$-normal mappings, yielding a unified treatment across these settings.

math.CV↗
arXiv2026

Avoidance Criteria for Normal Holomorphic Curves on Complex Projective Space

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 hypersurfaces in pointwise general position. Furthermore, we study families of holomorphic curves that share hyperplanes and derive analogous normality conditions in this context.

math.CV↗