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arXiv · 2502.14505

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

Preeti Gupta
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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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Preeti Gupta. 2025-02-20. Bounds on Derivatives in Compositions of Two Rational Functions with Prescribed Poles. https://arxiv.org/abs/2502.14505

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