1st Edition

Differential Subordinations Theory and Applications

By Sanford S. Miller, Petru T. Mocanu Copyright 2000

    "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."

    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.


    Sanford S. Miller, Petru T. Mocanu

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