Open Access

Subordination for Higher-Order Derivatives of Multivalent Functions

Journal of Inequalities and Applications20082008:830138

DOI: 10.1155/2008/830138

Received: 18 July 2008

Accepted: 24 November 2008

Published: 4 December 2008

Abstract

Differential subordination methods are used to obtain several interesting subordination results and best dominants for higher-order derivatives of -valent functions. These results are next applied to yield various known results as special cases.

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Authors’ Affiliations

(1)
School of Mathematical Sciences, Universiti Sains Malaysia (USM)
(2)
Mathematics Department, King Abdul Aziz University
(3)
Department of Mathematics, University of Delhi

Copyright

© Rosihan M. Ali et al. 2008

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.