Bounds on Derivatives in Compositions of Two Rational Functions with Prescribed Poles

2025/02/20 by Preeti Gupta, Gupta, Preeti
Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Complex Variables (math.CV) #FOS: Mathematics #Mathematics and Applications #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2502.14505

openalex publication_date 2025/02/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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