Distribution of Zeros of Entire Functions

Distribution of Zeros of Entire Functions PDF Author: Boris I_Akovlevich Levin
Publisher: American Mathematical Soc.
ISBN: 0821845055
Category : Mathematics
Languages : en
Pages : 542

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Distribution of Zeros of Entire Functions

Distribution of Zeros of Entire Functions PDF Author: Boris I_Akovlevich Levin
Publisher: American Mathematical Soc.
ISBN: 0821845055
Category : Mathematics
Languages : en
Pages : 542

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Book Description


Distribution of Zeros of Entire Functions

Distribution of Zeros of Entire Functions PDF Author: B. Ja Levin
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Introduction to the Theory of Entire Functions of Several Variables

Introduction to the Theory of Entire Functions of Several Variables PDF Author: Lev Isaakovich Ronkin
Publisher: American Mathematical Soc.
ISBN: 9780821886687
Category : Mathematics
Languages : en
Pages : 286

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Entire Functions

Entire Functions PDF Author:
Publisher: Academic Press
ISBN: 0080873138
Category : Mathematics
Languages : en
Pages : 289

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Book Description
Entire Functions

Localization and Perturbation of Zeros of Entire Functions

Localization and Perturbation of Zeros of Entire Functions PDF Author: Michael Gil'
Publisher: CRC Press
ISBN: 1439800332
Category : Mathematics
Languages : en
Pages : 318

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Book Description
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

Entire Functions and Related Parts of Analysis

Entire Functions and Related Parts of Analysis PDF Author: Jacob Korevaar
Publisher: American Mathematical Soc.
ISBN: 0821814117
Category : Mathematics
Languages : en
Pages : 562

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Zeros of Gaussian Analytic Functions and Determinantal Point Processes

Zeros of Gaussian Analytic Functions and Determinantal Point Processes PDF Author: John Ben Hough
Publisher: American Mathematical Soc.
ISBN: 0821843737
Category : Mathematics
Languages : en
Pages : 170

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Book Description
Examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients. This title presents a primer on modern techniques on the interface of probability and analysis.

Random Polynomials

Random Polynomials PDF Author: A. T. Bharucha-Reid
Publisher: Academic Press
ISBN: 148319146X
Category : Mathematics
Languages : en
Pages : 223

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Book Description
Probability and Mathematical Statistics: A Series of Monographs and Textbooks: Random Polynomials focuses on a comprehensive treatment of random algebraic, orthogonal, and trigonometric polynomials. The publication first offers information on the basic definitions and properties of random algebraic polynomials and random matrices. Discussions focus on Newton's formula for random algebraic polynomials, random characteristic polynomials, measurability of the zeros of a random algebraic polynomial, and random power series and random algebraic polynomials. The text then elaborates on the number and expected number of real zeros of random algebraic polynomials; number and expected number of real zeros of other random polynomials; and variance of the number of real zeros of random algebraic polynomials. Topics include the expected number of real zeros of random orthogonal polynomials and the number and expected number of real zeros of trigonometric polynomials. The book takes a look at convergence and limit theorems for random polynomials and distribution of the zeros of random algebraic polynomials, including limit theorems for random algebraic polynomials and random companion matrices and distribution of the zeros of random algebraic polynomials. The publication is a dependable reference for probabilists, statisticians, physicists, engineers, and economists.

Several Complex Variables III

Several Complex Variables III PDF Author: G.M. Khenkin
Publisher: Springer Science & Business Media
ISBN: 364261308X
Category : Mathematics
Languages : en
Pages : 265

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Book Description
We consider the basic problems, notions and facts in the theory of entire functions of several variables, i. e. functions J(z) holomorphic in the entire n space 1 the zero set of an entire function is not discrete and therefore one has no analogue of a tool such as the canonical Weierstrass product, which is fundamental in the case n = 1. Second, for n> 1 there exist several different natural ways of exhausting the space

Lectures on Entire Functions

Lectures on Entire Functions PDF Author: B. Ya Levin
Publisher: American Mathematical Soc.
ISBN: 0821808974
Category : Mathematics
Languages : en
Pages : 266

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Book Description
As a brilliant university lecturer, B. Ya. Levin attracted a large audience of working mathematicians and of students from various levels and backgrounds. For approximately 40 years, his Kharkov University seminar was a school for mathematicians working in analysis and a center for active research. This monograph aims to expose the main facts of the theory of entire functions and to give their applications in real and functional analysis. The general theory starts with the fundamental results on the growth of entire functions of finite order, their factorization according to the Hadamard theorem, properties of indicator and theorems of Phragmen-Lindelof type.