%0 Journal Article
%T Some applications of generalized Ruscheweyh derivatives involving a general fractional derivative operator to a class of analytic functions with negative coefficients I
%A Waggas Galib Atshan
%A S. R. Kulkarni
%J Surveys in Mathematics and its Applications
%D 2010
%I University Constantin Brancusi of Targu-Jiu
%X For certain univalent function f, we study a class of functions f as defined by making use of the generalized Ruscheweyh derivatives involving a general fractional derivative operator, satisfying Re { (zJ1¦Ë, ¦Ì f(z))')/((1 -¦Ã) J1¦Ë, ¦Ì f(z) + ¦Ã z2(J1¦Ë, ¦Ì f(z))" )} > ¦Â. A necessary and sufficient condition for a function to be in the class A¦Ã¦Ë, ¦Ì, ¦Í(n, ¦Â) is obtained. In addition, our paper includes distortion theorem, radii of starlikeness, convexity and close-to-convexity, extreme points. Also, we get some results in this paper.
%K Distortion theorem
%K Radii of starlikeness
%K Extreme points
%U http://www.utgjiu.ro/math/sma/v05/p03.pdf