A class of analytic functions involving in the Dziok-Srivastava operator

Abstract

Let A be a class of functions f (z )o f the form f (z )= z + ∞ � n=2 anz n (.) which are analytic in the open unit disk U. By means of the Dziok-Srivastava operator, we introduce a new subclass S l m (α1, α, μ) � l ≤ m +1 ,l, m ∈ N ∪{ 0} ,– π 2 – cosα � of A .I n particular,S 1 (2, 0, 0) coincides with the class of uniformly convex functions introduced by Goodman. The order of starlikeness and the radius of α-spirallikeness of order β (β < 1) are computed. Inclusion relations and convolution properties for the class S l m (α1, α, μ) are obtained. A special member of S l m (α1, α, μ )i s also given. The results presented here not only generalize the corresponding known results, but also give rise to several other new results. MSC: Primary 30C45