Counterexamples to Bloch's Principle and its Converse in Several Complex Variables

2022/09/09 by Kuldeep Singh Charak, Rahul Kumar, Charak, Kuldeep Singh +1
Mathematics · #32A10 #32A19 #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #FOS: Mathematics #Mathematical functions and polynomials #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2209.04328

openalex publication_date 2022/09/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, besides a counterexample to Bloch's principle, normality criteria leading to counterexamples to the converse of Bloch's principle in several complex variables are proved. Some Picard-type theorems and their corresponding normality criteria in \mathbb Cⁿ are also obtained.

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