Turan type inequalities for rational functions with pescribed poles and restricted zeros

TL;DR

This paper develops inequalities for rational functions with specific pole and zero configurations, extending these results to polynomials and their derivatives, contributing to the understanding of their bounds and behaviors.

Contribution

It introduces new inequalities for rational functions with prescribed poles and zeros, and applies these to polynomials and their polar derivatives.

Findings

Established inequalities for rational functions with prescribed poles and zeros.

Derived implications of these inequalities for polynomials and their derivatives.

Enhanced understanding of bounds for rational functions and related polynomials.

Abstract

In this paper, we establish some inequalities for rational functions with prescribed poles having s-fold zeros at origin and also show that it implies some inequalities for polynomials and their polar derivatives.