Tbilisi Mathematical Journal

Inequalities for complex rational functions

T. Shahmansouri and M. Bidkham

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Abstract

In this paper, we consider a class of rational functions $r(s(z))$ of degree at most $mn$, where $s(z)$ is a polynomial of degree $m$ and obtain a certain sharp compact generalization of well-known inequalities for rational functions.

Article information

Source
Tbilisi Math. J., Volume 12, Issue 2 (2019), 177-185.

Dates
Received: 28 July 2018
Accepted: 25 May 2019
First available in Project Euclid: 21 June 2019

Permanent link to this document
https://projecteuclid.org/euclid.tbilisi/1561082576

Digital Object Identifier
doi:10.32513/tbilisi/1561082576

Mathematical Reviews number (MathSciNet)
MR3973268

Subjects
Primary: 26A84
Secondary: 26D07: Inequalities involving other types of functions

Keywords
rational functions polynomials polar derivative inequalities poles restricted zeros

Citation

Shahmansouri, T.; Bidkham, M. Inequalities for complex rational functions. Tbilisi Math. J. 12 (2019), no. 2, 177--185. doi:10.32513/tbilisi/1561082576. https://projecteuclid.org/euclid.tbilisi/1561082576


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