Squeezing Function on Infinitely Connected Planar Domain
Akhil Kumar
TL;DR
This paper derives explicit formulas for the squeezing function of infinitely connected planar domains formed by removing a convergent sequence of points from the unit disk, and explores related invariants and examples.
Contribution
It provides explicit expressions for the squeezing function in complex domains with infinitely many boundary components, extending previous finite cases.
Findings
Explicit squeezing function formulas for infinitely connected domains
Analysis of Fridman invariant in these domains
Examples of squeezing functions for polydisks
Abstract
We provide explicit expression of squeezing function for infinitely connected planar domain obtained by removing a convergent sequence of points from the unit disk converging to the boundary of unit disk. We also discuss Fridman invariant associated with this domain as well as some examples of squezzing functions corresponding to polydisk.
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Taxonomy
TopicsAnalytic and geometric function theory · Advanced Theoretical and Applied Studies in Material Sciences and Geometry · Meromorphic and Entire Functions