Properties for uniformly starlike and related functions under the Srivastava-Attiya operator

摘要

In the present paper, we introduce and investigate classes of analytic functions involving the Srivastava–Attiya operator. Basic properties for β-uniformly starlike functions of order γ are studied, such as inclusion relations, sufficient conditions, coefficient inequalities and distortion inequalities. The results are also extended to β-uniformly convex, close-to-convex, and quasi-convex functions. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.