A CERTAIN SUBCLASS OF P-VALENTLY ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS OF COMPLEX ORDER

Ajab Akbarally and Maslina Darus

Abstract

              The object of this paper is to show some properties of functions belonging to a subclass M_p(A, B, b, n) (where b is a complex number with Re(b) > 0 and A and B are two arbitrary constants with -1 ≤ B < A ≤ 1). Coefficient estimates and some distortion theorems for this class of functions are found. Radii of close-to-convexity, starlikeness and convexity are derived. An application to fractional calculus is given.