Differential subordinations : theory and applications

>> Google Books

所蔵情報QRコード

Differential subordinations : theory and applications / Sanford S. Miller, Petru T. Mocanu

資料種別:

図書

出版情報:

New York : Marcel Dekker, c2000

形態:

xi, 459 p. ; 24 cm

シリーズ名:

Monographs and textbooks in pure and applied mathematics ; 225 <BA00046446>

著者名:

ISBN:

9780824700294 [0824700295]

書誌ID:

BA45001906

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Bibliography: p. 421-448
Includes index

主題:

Differential inequalities; Functions of complex variables

言語:

英語

目次情報:

Preface

Preliminaries / Chapter 1：

A Short History / 1.1.：

Basic Definitions and Results / 1.2.：

Subordination / a.：

Hypergeometric Functions / b.：

Classes of Functions / c.：

Integral Operators / d.：

Theory of Second-Order Differential Subordinations / Chapter 2：

Introduction / 2.1.：

Fundamental Lemmas / 2.2.：

Admissible Functions and Fundamental Theorems / 2.3.：

Examples / 2.4.：

The Open Door Lemma and the Integral Existence Theorem / 2.5.：

Classical Results of Geometric Function Theory Revisited / 2.6.：

Applications of First-Order Differential Subordinations / Chapter 3：

First- Order Linear Differential Subordinations / 3.1.：

Briot-Bouquet Differential Subordinations / 3.2.：

Briot-Bouquet Applications in Univalent Function Theory / 3.3.：

Generalized Briot-Bouquet Differential Subordinations / 3.4.：

Analytic Integral Operators Between Classes of Functions / 3.5.：

Subordination-Preserving Integral Operators / 3.6.：

Applications of Second-Order Differential Subordinations / Chapter 4：

Second-Order Linear Differential Subordinations / 4.1.：

Integral Operators Preserving Functions With Positive Real Part / 4.2.：

Integral Operators Preserving Bounded Functions / 4.3.：

Averaging Integral Operators / 4.4.：

The Schwarzian and Starlikeness / 4.5.：

Special Differential Subordinations / Chapter 5：

Conditions for Special Subclasses of Starlike Functions / 5.1.：

Simple Conditions for Starlikeness and Convexity / 5.2.：

On a Theorem of Robertson / 5.3.：

Subordination by Convex Functions / 5.4.：

Functions with Bounded Turning and Starlike Functions / 5.5.：

Functions Starlike with Respect to Symmetric Points / 5.6.：

Higher Order Differential Subordinations / Chapter 6：

Third-Order Differential Subordinations / 6.1.：

The Euler Nth-Order Differential Subordination / 6.3.：

Differential Subordinations of Several Complex Variables / Chapter 7：

Preliminary Lemmas / 7.1.：

Extensions of the Fundamental Lemma / 7.2.：

Dominants and Admissible Functions in C[superscript n] / 7.3.：

Differential Subordinations in C[superscript n] / 7.4.：

Applications of Differential Subordinations in Other Fields / Chapter 8：

Harmonic Functions / 8.1.：

Meromorphic Functions / 8.2.：

Differential Subordinations in the Upper Half-Plane / 8.3.：

Extensions to Banach Spaces / 8.4.：

Convexity of Bernoulli Functions / Appendix：

Bibliography

List of Symbols

Index

Preface

Preliminaries / Chapter 1：

A Short History / 1.1.：

Basic Definitions and Results / 1.2.：

Subordination / a.：

Hypergeometric Functions / b.：

続きを見る

東工大ブックレビュー

類似資料:

1 図書 Complex stochastic processes : an introduction to theory and application (: pbk) Miller, Kenneth S., 1921- Addison-Wesley Pub. Co., Advanced Book Program	7 図書 Methods of complex analysis in partial differential equations with applications Kracht, Manfred, Kreyszig, Erwin Wiley
2 図書 Ordinary differential equations Lakshmikantham, V., 1926-, Leela, S. Academic Press	8 図書 Differential analysis : differentiation, differential equations, and differential inequalities Flett, T. M. Cambridge University Press
3 図書 Random differential inequalities Ladde, G. S., Lakshmikantham, V., 1926- Academic Press	9 図書 Differential inequalities Szarski, Jacek PWN-Polish Scientific Publishers
4 図書 Functional, partial, abstract, and complex differential equations Lakshmikantham, V., 1926-, Leela, S. Academic Press	10 図書 Inequalities for differential and integral equations Pachpatte, B. G. Academic Press
5 図書 Hyperbolic functional differential inequalities and applications Kamont, Zdzisław Kluwer Academic	11 図書 Noncommutative function-theoretic operator theory and applications (: hardback) Ball, Joseph A., 1947-, Bolotnikov, Vladimir, 1962- Cambridge University Press
6 図書 Complex analysis and applications Derrick, William R., 1938- Wadsworth International Group	12 図書 Quadrature domains and their applications : the Harold S. Shapiro anniversary volume Shapiro, Harold S., Ebenfelt, Peter, Conference on Quadrature Domains and Their Applications Birkhäuser Verlag