International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 38258, 6 pages
doi:10.1155/IJMMS/2006/38258
Neighborhoods of certain classes of analytic functions with
negative coefficients
Department of Mathematics, Faculty of Science, University of Mansoura, Mansoura 35516, Egypt
Received 26 September 2005; Revised 14 March 2006; Accepted 25 April 2006
Copyright © 2006 M. K. Aouf. 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.
Abstract
By making use of the familiar concept of neighborhoods of analytic
functions, the author proves several inclusion relations
associated with the (n,δ)-neighborhoods of various
subclasses defined by Salagean operator. Special cases of
some of these inclusion relations are shown to yield known
results.