Second Hankel Determinant for a Subclass of Alpha Convex FunctionsGagandeep Singh1* and Gurcharanjit Singh2
- *Corresponding Author:
- Gagandeep Singh
Department of Mathematics, M.S.K. Girls College
Bharowal (Tarn-Taran), Punjab, India
E-mail: [email protected]
Received date: May 24, 2014; Accepted date: June 23, 2014; Published date: June 27, 2014
Citation: Singh G, Singh G (2014) Second Hankel Determinant for a Subclass of Alpha Convex Functions. J Appl Computat Math 3: 167. doi: 10.4172/2168-9679.1000167
Copyright: © 2014 Singh G, et a l. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
In this paper a sharp upper bound of second Hankel determinant 2 2 4 3 a a − a for the functions belonging to the class M (A, B) α of alpha convex functions is established. The class of alpha convex functions is an extended version of the classes of starlike functions and convex functions. By giving the particular values to alpha, it is easy to obtain the results of starlike and convex functions. The class discussed in this paper is an extended version of the class of alpha convex functions. By giving the particular values to A and B, the result of alpha convex functions can be easily obtained.