Inclusion properties of a subclass of analytic functions defined by an integral operator involving the Gauss hypergeometric function

摘要

In the present paper, we introduce and investigate a new subclass of analytic functions in the open unit disk U, which is defined by the convolution (fμ)−1 ∗ f(z), where≔fμ(z)≔(1-μ)z2F1(a,b;c;z)+μzz2F1(a,b;c;z)′(z∈U;μ≧0).Several interesting properties including (for example) integral-preserving properties of this analytic function class are also considered.