Random polynomials

by Bharucha-Reid, A. T., (Albert T.)

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Title Statements

Full title :Random polynomials / A.T. Bharucha-Reid, M. Sambandham.

Edition Statements

Publication Date:©1986

Publication Statements

Publisher(s):Academic Press, Inc
Place of Publication:Orlando, Florida
Language:eng
Publication Date:©1986

The Physical Object

Description:1 online resource (223 pages)

Edition Identifiers

ISBN:9781483191461, 148319146X
oclc:ocn903965276
LC Classification:QA273.43
Dewey Decimal:519.2/6

Front Cover; Random Polynomials; Copyright Page; Dedication; Table of Contents; Preface; Acknowledgments; CHAPTER 1. Introduction; 1.1. INTRODUCTION; 1.2. ORIGINS OF SOME RANDOM ALGEBRAIC POLYNOMIALS; 1.3. SOME HISTORICAL REMARKS; 1.4. OTHER TYPES OF RANDOM POLYNOMIALS; REFERENCES; CHAPTER 2. Random Algebraic Polynomials: Basic Definitions and Properties; 2.1. INTRODUCTION; 2.2. RANDOM POWER SERIES AND RANDOM ALGEBRAIC POLYNOMIALS; 2.3. OTHER DEFINITIONS OF RANDOM ALGEBRAIC POLYNOMIALS; 2.4. MEASURABILITY OF THE ZEROS OF A RANDOM ALGEBRAIC POLYNOMIAL.

4.3. THE EXPECTED NUMBER OF REAL ZEROS OF RANDOM ALGEBRAIC POLYNOMIALS4.4. THE AVERAGE NUMBER OF ZEROS OF RANDOM ALGEBRAIC POLYNOMIALS WITH COMPLEX COEFFICIENTS; REFERENCES; CHAPTER 5. The Number and Expected Number of Real Zeros of Other Random Polynomials; 5.1. INTRODUCTION; 5.2. THE NUMBER AND EXPECTED NUMBER OF REAL ZEROS OF TRIGONOMETRIC POLYNOMIALS; 5.3. THE EXPECTED NUMBER OF REAL ZEROS OF RANDOM HYPERBOLIC POLYNOMIALS; 5.4. THE EXPECTED NUMBER OF REAL ZEROS OF RANDOM ORTHOGONAL POLYNOMIALS; 5.5. NUMERICAL RESULTS; REFERENCES.

CHAPTER 6. The Variance of the Number of Real Zeros of Random Algebraic Polynomials6.1. INTRODUCTIO…