International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 362312, 21 pages
Research Article

Properties of Certain Subclass of Multivalent Functions with Negative Coefficients

1Department of Mathematics, Chifeng University, Inner Mongolia, Chifeng 024000, China
2School of Mathematical Sciences, Dalian University of Technology, Liaoning 116024, China

Received 26 December 2011; Revised 26 March 2012; Accepted 27 March 2012

Academic Editor: Marianna Shubov

Copyright © 2012 Jingyu Yang and Shuhai Li. 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.


Making use of a linear operator, which is defined by the Hadamard product, we introduce and study a subclass 𝑌 + 𝑎 , 𝑐 ( 𝐴 , 𝐵 ; 𝑝 , 𝜆 , 𝛼 ) of the class 𝐴 + ( 𝑝 ) . In this paper, we obtain the coefficient inequality, distortion theorem, radius of convexity and starlikeness, neighborhood property, modified convolution properties of this class. Furthermore, an application of fractional calculus operator is given. The results are presented here would provide extensions of some earlier works. Several new results are also obtained.