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Distribution of Zeros and Inequalities for Zeros of Algebraic Polynomials

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Functional Equations and Inequalities

Part of the book series: Mathematics and Its Applications ((MAIA,volume 518))

Abstract

This paper surveys the zero distribution and inequalities for zeros of algebraic polynomials. Besides the basic facts on the zero distribution we consider the Grace’s theorem and many of its applications, the zero distribution for real polynomials, as well as the Eneström-Kakeya theorem for a special class of polynomials. Also, we give some estimates for a number of zeros of a polynomial in a given domain in the complex plane.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Electronic Engineering, P. O. Box 73, 18000, Niš, Yugoslavia

    Gradimir V. Milovanović

  2. Department of Mathematics Zografou Campus, National Technical University of Athens, 15780, Athens, Greece

    Themistocles M. Rassias

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  1. Gradimir V. Milovanović
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  2. Themistocles M. Rassias
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Milovanović, G.V., Rassias, T.M. (2000). Distribution of Zeros and Inequalities for Zeros of Algebraic Polynomials. In: Functional Equations and Inequalities. Mathematics and Its Applications, vol 518. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4341-7_15

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  • DOI: https://doi.org/10.1007/978-94-011-4341-7_15

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