%0 Journal Article
%T Second Hankel determinant for a class of analytic functions defined by a linear operator
%A Aabed Mohammed
%A Maslina Darus
%J Tamkang Journal of Mathematics
%D 2012
%I Tamkang University
%R 10.5556/j.tkjm.43.2012.455-462
%X By making use of the linear operator $Theta _m^{lambda ,n} ,,,m in mathbb{N}={1,2,3,ldots}$ and $lambda ,,,n in mathbb{N}_0 = mathbb{N} cup { 0}$ given by the authors, a class of analytic functions $S_m^{lambda ,n}(alpha ,sigma ) ( {| alpha| < pi/2}, ; 0leq sigma <1) $ is introduced. The object of the present paper is to obtain sharp upper bound for functional $ left| {,a_2 a_4 - a_3 ^2 } ight|.$
%K Fekete-Szeg  functional
%K Hankel determinant
%K Positive real functions
%K Linear operator.
%U http://journals.math.tku.edu.tw/index.php/TKJM/article/view/518