Differential Subordinations: Theory and Applications / Edition 1

by Sanford S. Miller, Petru T. Mocanu

Overview

"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."

Product Details

ISBN-13:	9780824700294
Publisher:	Taylor & Francis
Publication date:	01/03/2000
Series:	Chapman & Hall/CRC Pure and Applied Mathematics , #225
Pages:	480
Product dimensions:	6.00(w) x 9.00(h) x (d)

About the Author

Sanford S. Miller, Petru T. Mocanu

Table of Contents

Preliminaries; theory of second-order differential subordinations; applications of first-order differential subordinations; applications of second-order differential subordinations; special differential subordinations; higher order differential subordinations; differential subordinations of several complex variables; applications of differential subordinations in other fields. Appendix: convexity of Bernoulli function.

Editorial Reviews

". . .well-written. . .summarizes the results of the last two decades' intensive research of differential subordinations."
—-Mathematica Bohemica

From the Publisher

...well-written...summarizes the results of the last two decades’ intensive research of differential subordinations.

Mathematica Bohemica

Briefly defining differential subordination in the complex plane as the generalization of a differential inequality on the real line, Miller (mathematics, State U. of New York-Brockport) and Mocanu (complex analysis, Baves-Bolyai U., Cluj-Napoca, Romania) combine the basic concepts with recent results in such fields as differential equations, partial differential equations, meromorphic functions, harmonic functions, integral operators, Banach spaces, and functions of several complex variables. They describe the theory of first-order and second-order differential subordinations with some results from higher orders, simplify many of the proofs, extend the results of univalent function theory, and explain the relationship between differential subordinations and differential equations. The text is double spaced. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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