Inequalities for Rational Functions with $s$-fold zeros at the Origin

In this paper, we establish some inequalities for rational functions with prescribed poles having $s$ fold zeros at the origin. Our results generalize and refine the results of A. Aziz and W. M. Shah [2], A. Aziz and B. A. Zargar [3] and other known rational inequalities.

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Publication Details

Journal
SARAJEVO JOURNAL OF MATHEMATICS
Published
2025-04-14
DOI
https://doi.org/10.5644/sjm.20.02.05
Primary Topic
Analytic Number Theory Research
Type
article
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0.00
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article

Inequalities for Rational Functions with $s$-fold zeros at the Origin

B. A. Zargar, Rubia Akhter, Manzoor Hussain Gulzar
1 links
SARAJEVO JOURNAL OF MATHEMATICS
Analytic Number Theory Research
article

Inequalities for Rational Functions with $s$-fold zeros at the Origin

B. A. Zargar, Rubia Akhter, Manzoor Hussain Gulzar
article en

Abstract

In this paper, we establish some inequalities for rational functions with prescribed poles having $s$ fold zeros at the origin. Our results generalize and refine the results of A. Aziz and W. M. Shah [2], A. Aziz and B. A. Zargar [3] and other known rational inequalities.

SARAJEVO JOURNAL OF MATHEMATICSVol. 20(2)
Openalex Percentile: Top 88%
Analytic Number Theory Research
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Inequalities for Rational Functions with $s$-fold zeros at the Origin — B. A. Zargar, Rubia Akhter, et al. · SARAJEVO JOURNAL OF MATHEMATICS (2025) | TGRS Research Map | TGRS