Normality of a Family of Holomorphic Curvesthat Partially Share Wandering Hyperplaneswith Their Derivatives
Year: 2025
Type: article
Abstract: In this paper, we prove that a family of holomorphic curves in P 𝑁 pCq that partially share moving as well as wandering hyperplanes with their derivatives is normal.By associating a moving hyperplane in P 1 pCq to any holomorphic function, we also obtain a normality criterion for a family of meromorphic functions that partially share wandering holomorphic functions with their derivatives.Further, we devise a tractable representation of complex-valued holomorphic functions on a domain 𝐷 as functions from 𝐷 to P 2 pCq to obtain a normality criterion that leads to a counterexample to the converse of Bloch's principle.
Source: Problemy analiza
Authors: S. Mehta, K. S. Charak
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416270912
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