Localization and Perturbation of Zeros of Entire Functions

by Michael Gil'

Overview

One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. Localization and Perturbation of Zeros of Entire Functions is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. It also offers a new a

Product Details

ISBN-13:	9781040204634
Publisher:	CRC Press
Publication date:	12/04/2009
Series:	Lecture Notes in Pure and Applied Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	312
File size:	923 KB

About the Author

Michael Gil' is a professor in the Department of Mathematics at Ben Gurion University of the Negev in Israel.

Table of Contents

Finite Matrices. Eigenvalues of Compact Operators. Some Basic Results of the Theory of Analytic Functions. Polynomials. Bounds for Zeros of Entire Functions. Perturbations of Finite-Order Entire Functions. Functions of Order Less than Two. Exponential-Type Functions. Quasipolynomials. Transforms of Finite-Order Entire Functions and Canonical Products. Polynomials with Matrix Coefficients. Entire Matrix-Valued Functions. Bibliography. Index.