INEQUALITIES PERTAINING TO RATIONAL FUNCTIONS WITH PRESCRIBED POLES

Let \(\Re_n\) be the set of all rational functions of the type \(r(z) = p(z)/w(z),\) where \(p(z)\) is a polynomial of degree at most \(n\) and  \(w(z) = \prod_{j=1}^{n}(z-a_j)\), \(|a_j|>1\) for \(1\leq j\leq n\).  In this paper, we set up some results for rational functions with fixed poles and...

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Bibliographic Details
Main Authors: Nisar Ahmad Rather, Mohmmad Shafi Wani, Ishfaq Dar
Format: Article
Language:English
Published: Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin. 2022-12-01
Series:Ural Mathematical Journal
Subjects:
Online Access:https://umjuran.ru/index.php/umj/article/view/455