## Basic properties and characterizations of a certain class of analytic functions with negative coefficients. II.(English)Zbl 0826.30007

Summary: [For part I see Sang Keun Lee and S. Owa and H. M. Srivastava in Util. Math. 36, 121-128 (1989; Zbl 0639.30009).]
The object of the present paper is to determine the closure theorems of the class $$F_p (\lambda, \alpha)$$ consisting of certain analytic functions with negative coefficients in the unit disc. Also we obtain radii of close-to-convexity, starlikeness and convexity for the class $$F_p (\lambda, \alpha)$$. Furthermore, distortion theorems for fractional calculus are shown. Also modified Hadamard products of several functions belonging to the class $$F_p (\lambda, \alpha)$$ are studied here.

### MSC:

 30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)