Neighborhood properties of certain classes of multivalently analytic functions associated with the convolution structure
APPLIED MATHEMATICS AND COMPUTATION, vol.218, pp.6511-6518, 2012 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 218
- Publication Date: 2012
- Doi Number: 10.1016/j.amc.2011.12.022
- Journal Name: APPLIED MATHEMATICS AND COMPUTATION
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.6511-6518
- Kocaeli University Affiliated: Yes
Abstract
In this paper, by making use of the familiar concept of neighborhoods of p-valently analytic functions, we prove coefficient bounds, distortion inequalities and associated inclusion relations for the (n,delta)-neighborhoods of a family of p-valently analytic functions and their derivatives, which is defined by means of a certain general family of non-homogenous Cauchy-Euler differential equations. (C) 2011 Elsevier Inc. All rights reserved.