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Abstract and Applied Analysis
Volume 2012, Article ID 279843, 11 pages
Research Article

Some Properties of a Generalized Class of Analytic Functions Related with Janowski Functions

1Department of Mathematics, Abdul Wali Khan University, 23200 Mardan, Pakistan
2Department of Mathematics, COMSATS Institute of Information Technology, 44000 Islamabad, Pakistan
3Department of Mathematics, GC University, 38000 Faisalabad, Pakistan

Received 9 February 2012; Accepted 12 March 2012

Academic Editor: Muhammad Aslam Noor

Copyright © 2012 M. Arif et al. 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.


We define a class [, , ] of analytic functions by using Janowski’s functions which generalizes a number of classes studied earlier such as the class of strongly close-to-convex functions. Some properties of this class, including arc length, coefficient problems, and a distortion result, are investigated. We also discuss the growth of Hankel determinant problem.