Bounds on Derivatives in Compositions of Two Rational Functions with Prescribed Poles
Complex Variables
2025-02-21 v1
Abstract
This paper explores a class of rational functions r(s(z)) with degree mn, where s(z) is a polynomial of degree m. Inequalities are derived for rational functions with specified poles, extending and refining previous results in the eld.
Keywords
Cite
@article{arxiv.2502.14505,
title = {Bounds on Derivatives in Compositions of Two Rational Functions with Prescribed Poles},
author = {Preeti Gupta},
journal= {arXiv preprint arXiv:2502.14505},
year = {2025}
}