# On the multipliers of repelling periodic points of entire functions

**Authors:** Walter Bergweiler, Dan Liu

arXiv: 1701.06858 · 2018-04-11

## TL;DR

This paper establishes a lower bound for the multipliers of repelling periodic points in entire functions, derived from bounds on fixed points of composite entire functions, advancing understanding of their dynamical behavior.

## Contribution

It introduces a novel lower bound for multipliers of repelling periodic points of entire functions based on fixed point bounds of composite functions.

## Key findings

- Lower bound for multipliers of repelling periodic points
- Bound derived from fixed points of composite entire functions
- Enhanced understanding of entire function dynamics

## Abstract

We give a lower bound for the multipliers of repelling periodic points of entire functions. The bound is deduced from a bound for the multipliers of fixed points of composite entire functions.

## Full text

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## References

33 references — full list in the complete paper: https://tomesphere.com/paper/1701.06858/full.md

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Source: https://tomesphere.com/paper/1701.06858