Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties
Analytic Theory of Polynomials: Critical Points, Zeros and Extremal Properties By Qazi Ibadur Rahman, Gerhard Schmeisser
2002 | 760 Pages | ISBN: 0198534930 | DJVU + PDF | 10 MB
2002 | 760 Pages | ISBN: 0198534930 | DJVU + PDF | 10 MB
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 anlytic functions of a special kind. The zeros of compositions of polynomials are also investigated along with their growth and some of these considerations lead to the study of analogous questions for trigonometric polynomials and certain transcendental entire functions. The strength of methods are fully explained and demonstrated by means of applications.