Exploring Topological Transitivity in Families of Functions
Complex Variables
2025-06-12 v2
Abstract
We have established various criteria for the topological transitivity of families of continuous (holomorphic) functions. Furthermore, by leveraging the properties of expanding families of meromorphic functions, we offer an alternative proof of Montel's three point theorem.
Keywords
Cite
@article{arxiv.2410.23040,
title = {Exploring Topological Transitivity in Families of Functions},
author = {Anil Singh and Banarsi Lal},
journal= {arXiv preprint arXiv:2410.23040},
year = {2025}
}