%0 Journal Article
%T Certain subclasses of starlike functions of complex order involving the Hurwitz¡ªLerch Zeta function
%A G. Murugusundaramoorthy
%A K. Uma
%J Annales UMCS, Mathematica
%D 2010
%I 
%R 10.2478/v10062-010-0015-9
%X Making use of the Hurwitz¡ªLerch Zeta function, we define a new subclass of uniformly convex functions and a corresponding subclass of starlike functions with negative coefficients of complex order denoted by TS¦Ì/b (¦Á, ¦Â, ¦Ã) and obtain coefficient estimates, extreme points, the radii of close to convexity, starlikeness and convexity and neighbourhood results for the class TS¦Ì/b (¦Á, ¦Â, ¦Ã). In particular, we obtain integral means inequalities for the function f(z) belongs to the class TS¦Ì/b (¦Á, ¦Â, ¦Ã) in the unit disc.
%K Univalent
%K starlike
%K convex
%K uniformly convex
%K uniformly star-like
%K Hadamard product
%K integral means
%K Hurwitz¡ªLerch Zeta function
%U http://versita.metapress.com/content/9813475lw31nn132/?p=9103deacfc2242cb8d5ede9bf0cc3318&pi=6