INEQUALITIES FOR A CLASS OF MEROMORPHIC FUNCTIONS WHOSE ZEROS ARE WITHIN OR OUTSIDE A GIVEN DISK

INEQUALITIES FOR A CLASS OF MEROMORPHIC FUNCTIONS WHOSE ZEROS ARE WITHIN OR OUTSIDE A GIVEN DISK

In this paper, we consider a class of meromorphic functions \(r(z)\) having an \(s\)-fold zero at the origin and establish some inequalities of Bernstein and Turán type for the modulus of the derivative of rational functions  in the sup-norm on the disk in the complex plane. These results produce so...

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Bibliographic Details
Main Authors: Mohd Yousf Mir, Shah Lubna Wali, Wali Mohammad Shah
Format: Article
Language:English
Published: Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics 2023-07-01
Series:Ural Mathematical Journal
Subjects:
polynomial, rational function, \(s\)-fold zeros, bernstein inequality.
Online Access:https://umjuran.ru/index.php/umj/article/view/508
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