Some Properties of Subclasses of Multivalent Functions

Abstract

The authors introduce two new subclasses denoted by ${\Im }^{*}(\Omega ,\lambda ,p,\alpha )$ and ${\Im }_{ϵ}^{*}(\Omega ,\lambda ,p,\alpha )$ of $p$-valent analytic functions. They obtain coefficient inequality for the class ${\Im }^{*}(\Omega ,\lambda ,p,\alpha )$. They investigate various properties of classes ${\Im }^{*}(\Omega ,\lambda ,p,\alpha )$ and ${\Im }_{ϵ}^{*}(\Omega ,\lambda ,p,\alpha )$. Furthermore, they derive partial sums associated with the class ${\Im }_{ϵ}^{*}(\Omega ,\lambda ,p,\alpha )$.