English

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

Complex Variables 2022-09-12 v1

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 Cn\mathbb C^{n} are also obtained.

Keywords

Cite

@article{arxiv.2209.04328,
  title  = {Counterexamples to Bloch's Principle and its Converse in Several Complex Variables},
  author = {Kuldeep Singh Charak and Rahul Kumar},
  journal= {arXiv preprint arXiv:2209.04328},
  year   = {2022}
}

Comments

15 pages

R2 v1 2026-06-28T01:01:08.831Z