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Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties Book

Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties
Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties, This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the properties of polynomials as analytic functions of a special kind.
 The zeros of compositions of polyn, Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties has a rating of 3 stars
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Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties, This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the properties of polynomials as analytic functions of a special kind. The zeros of compositions of polyn, Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties
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  • Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties
  • Written by author Qazi Ibadur Rahman
  • Published by Oxford University Press, USA, November 2002
  • This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the properties of polynomials as analytic functions of a special kind. The zeros of compositions of polyn
  • Aiming to unite and note the interrelations between the traditional and modern branches of algebra (the pseudoalgebraic branch on zeros and critical points and the analytic branch on extremal properties), this volume contains 16 chapters which provide a s
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Book Categories

Authors

1Introduction1
ICritical Points in Terms of Zeros
2Fundamental results on critical points71
3More sophisticated methods96
4More specific results on critical points117
5Applications to compositions of polynomials141
6Polynomials with real zeros184
7Conjectures and solutions212
IIZeros in Terms of Coefficients
8Inclusion of all zeros243
9Inclusion of some of the zeros275
10Number of zeros in an interval315
11Number of zeros in a domain357
IIIExtremal Properties
12Growth estimates403
13Mean values460
14Derivative estimates on the unit disc508
15Derivative estimates on the unit interval566
16Coefficient estimates636
References681
List of notation729
Index733


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Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties, This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the properties of polynomials as analytic functions of a special kind.
 The zeros of compositions of polyn, Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties

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Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties, This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the properties of polynomials as analytic functions of a special kind.
 The zeros of compositions of polyn, Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties

Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties

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Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties, This text presents easy to understand proofs of some of the most difficult results about polynomials. It encompasses a self-contained account of the properties of polynomials as analytic functions of a special kind.
 The zeros of compositions of polyn, Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties

Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties

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