Differential Subordinations : Theory and Applications

Title

Differential Subordinations : Theory and Applications

Files

Description

By Sanford S. Miller, Peter T. Mocanu.

"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."--Publisher

ISBN

0824700295

Publication Date

1999

Publication Information

New York : M. Dekker, 1999.

xi, 459 p. ; 24 cm.

Series: Monographs and textbooks in pure and applied mathematics ; 225

Disciplines

Mathematics

Department

Mathematics

Comments

Located in Drake Library at: QA295 .M55 1999

CONTENTS: Ch. 1. Preliminaries. A Short History ; Basic Definitions and Results – Ch. 2. Theory of Second-Order Differential Subordinations. Introduction ; Fundamental Lemmas ; Admissible Functions and Fundamental Theorems ; Examples ; The Open Door Lemma and the Integral Existence Theorem ; Classical Results of Geometric Function Theory Revisited -- Ch. 3. Applications of First-Order Differential Subordinations. First-Order Linear Differential Subordinations ; Briot-Bouquet Differential Subordinations ; Briot-Bouquet Applications in Univalent Function Theory ; Generalized Briot-Bouquet Differential Subordinations ; Analytic Integral Operators Between Classes of Functions ; Subordination-Preserving Integral Operators -- Ch. 4. Applications of Second-Order Differential Subordinations. Second-Order Linear Differential Subordinations ; Integral Operators Preserving Functions With Positive Real Part.