ON CERTAIN SUBCLASS OF MULTIVALENT FUNCTIONS OF COMPLEX ORDER

Halit Orhan, Elif Guneş and Maslina Darus

Abstract

             The aim of the present paper is to show several properties of functions belonging to a subclass M_n,Ω ^p(A,B,λ,b)  (where b is complex number with Re(b) > 0 and A ve B are two arbitrary constants with -1 ≤ B < A ≤ 1). Coefficient estimates and some distortion theorems for this class of functions are obtained. For this class we also derive the radii of close-to-convexity, starlikeness, and convexity. Further, an application involving fractional calculus for functions in M_n,Ω ^p(A,B,λ,b) is given.