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Differential subordinations : theory and applications
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Differential subordinations : theory and applications

Author: Sanford S Miller; Petre Mocanu
Publisher: New York : M. Dekker, ©2000.
Series: Monographs and textbooks in pure and applied mathematics, 225.
Edition/Format:   Book : EnglishView all editions and formats
Summary:
"Examining a topic that has been the subject of more than 300 articles since it was first conceived nearly 20 years ago, this monograph describes for the first time in one volume the basic theory and multitude of applications in the study of differential subordinations."--BOOK JACKET.
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Document Type: Book
All Authors / Contributors: Sanford S Miller; Petre Mocanu
ISBN: 0824700295 9780824700294
OCLC Number: 42475777
Description: xi, 459 p. ; 24 cm.
Contents: Ch. 1. Preliminaries. 1.1. A Short History. 1.2. Basic Definitions and Results --
Ch. 2. Theory of Second-Order Differential Subordinations. 2.1. Introduction. 2.2. Fundamental Lemmas. 2.3. Admissible Functions and Fundamental Theorems. 2.4. Examples. 2.5. The Open Door Lemma and the Integral Existence Theorem. 2.6. Classical Results of Geometric Function Theory Revisited --
Ch. 3. Applications of First-Order Differential Subordinations. 3.1. First-Order Linear Differential Subordinations. 3.2. Briot-Bouquet Differential Subordinations. 3.3. Briot-Bouquet Applications in Univalent Function Theory. 3.4. Generalized Briot-Bouquet Differential Subordinations. 3.5. Analytic Integral Operators Between Classes of Functions. 3.6. Subordination-Preserving Integral Operators --
Ch. 4. Applications of Second-Order Differential Subordinations. 4.1. Second-Order Linear Differential Subordinations. 4.2. Integral Operators Preserving Functions With Positive Real Part.
Series Title: Monographs and textbooks in pure and applied mathematics, 225.
Responsibility: Sanford S. Miller, Petru T. Mocanu.
More information:

Abstract:

"Examining a topic that has been the subject of more than 300 articles since it was first conceived nearly 20 years ago, this monograph describes for the first time in one volume the basic theory and multitude of applications in the study of differential subordinations."--BOOK JACKET.

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