Coefficient Inequalities for $p$-Valent Functions

Abstract

In the present paper, the authors introduce a new subclass of $p$-valent analytic functions with complex order defined on the open unit disk $\mathbb{U}=\{z:z∈\mathbb{C}\ \text{and}\ |z|<1\}$ and obtain coefficient inequalities for the functions in these classes. Applications of these results for the functions defined by the convolution are also obtained.