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

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.

Publication Details

Journal
ArXiv.org
Published
2025-02-21
Primary Topic
Mathematical functions and polynomials
Type
article
Field-Weighted Citation Impact
0.00
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article

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

ArXiv.org
Mathematical functions and polynomials
article

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

article en

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 38%
Mathematical functions and polynomials
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Turan type inequalities for rational functions with pescribed poles and restricted zeros · ArXiv.org (2025) | TGRS Research Map | TGRS