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Entire functions

Author: Ralph P Boas
Publisher: New York : Academic Press, ©1954.
Series: Pure and applied mathematics (Academic Press), 5.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
The aim of this book is to give an account of the extensive modern theory of functions of exponential type; the natural domain for these functions is often a half plane or an angle rather than the whole plane. This is not, then, a comprehensive treatise on entire functions (a subject to vast for one volume), and not concerned entirely with entire functions. Functions of exponential type have many applications in  Read more...
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Additional Physical Format: Online version:
Boas, Ralph Philip.
Entire functions.
New York, Academic Press, 1954
(OCoLC)565246190
Document Type: Book
All Authors / Contributors: Ralph P Boas
ISBN: 0121081508 9780121081508
OCLC Number: 847696
Description: 276 pages : illustrations, diagrams ; 24 cm.
Contents: Introduction --
General properties of entire functions of finite order --
The minimum modules --
Functions with real negative zeros --
General properties of functions of exponential type --
Functions of exponential type, restricted on a line : I. Theorems in the large --
Functions of exponential type, restricted on a line : II. Asymptotic behavior in a half plane --
Functions of exponential type : connections between growth and distribution of zeros --
Uniqueness theorems --
Growth theorems --
Operators and their extremal properties --
Applications.
Series Title: Pure and applied mathematics (Academic Press), 5.
Responsibility: Ralph Philip Boas, Jr.

Abstract:

The aim of this book is to give an account of the extensive modern theory of functions of exponential type; the natural domain for these functions is often a half plane or an angle rather than the whole plane. This is not, then, a comprehensive treatise on entire functions (a subject to vast for one volume), and not concerned entirely with entire functions. Functions of exponential type have many applications in other fields, so this volume is limited to selected examples from a variety of fields to indicate how some applications arise.

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