Document Type : Review articles

Authors

• Abdul Rahman Juma ¹
• Mushtaq Abdulhussain ²
• Saba Al-khafaji ¹

¹ Department of Mathematics, University of Anbar, Ramadi, Iraq

² Department of Mathematics, Mustansiriyah University, Iraq

Abstract

The aim of the present paper is to introduce and investigate a new subclass of Bazilevic functions in the punctured unit disk ${\mathcal{U}}^{\ast }$ which have been described through using of the well-known fractional $q$-calculus operators, Hadamard product and a linear operator. In addition, we obtain some sufficient conditions for the functions belonging to this class and for some of its subclasses.

Keywords

• Meromorphic $p$-valent functions
• Hadamard product
• Bazilevic function
• fractional $q$-calculus operators