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E-ISSN: 2788-9327

P-ISSN: 1606-8947

Vol. 27 No. 1 (2023)

Inequalities for the polar derivative and the generalized polar derivative of complex polynomials with restricted zeros

  • Adeeb Tawfik Hasson Al-Saeedi Department of Mathematics, Faculty of Education Aden, University of Aden, Aden, Yemen
  • Dhekra Mohammed Mohsen Algawi Department of Mathematics, Faculty of Education Aden, University of Aden, Aden, Yemen

University of Aden Journal of Natural and Applied Sciences, Vol. 27 No. 1 (2023), 24-04-2023 Page 117-135

DOI:

https://doi.org/10.47372/uajnas.2023.n1.a08

Abstract

     In this paper, certain new results concerning the maximum modulus of the polar derivative and the generalized polar derivative of a polynomial with restricted zeros are obtained. These estimates strengthen some well known inequalities for polynomial due to Tur n, Rather and Dar, Rather, Ali, Shafi and Dar  and others.  

Keywords:
    Polynomials, Polar Derivative, Generalized Polar Derivative, Inequalities in the Complex Domain

How to Cite

Al-Saeedi , A. T. H., & Algawi, D. M. M. (2023). Inequalities for the polar derivative and the generalized polar derivative of complex polynomials with restricted zeros. University of Aden Journal of Natural and Applied Sciences, 27(1), 117–135. https://doi.org/10.47372/uajnas.2023.n1.a08
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