Fatou and Julia like sets
Kuldeep Singh Charak, Anil Singh, Manish Kumar
TL;DR
This paper introduces Fatou and Julia like sets for families of holomorphic functions on arbitrary domains and explores their interesting properties.
Contribution
It defines new types of sets analogous to classical Fatou and Julia sets for broader function families and studies their properties.
Findings
Defined Fatou and Julia like sets for arbitrary domains
Established fundamental properties of these sets
Extended classical complex dynamics concepts
Abstract
For a family of holomorphic functions on an arbitrary domain, we introduce Fatou and Julia like sets, and establish some of their interesting properties.
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Taxonomy
TopicsHousing Market and Economics