Certain subclass of $p$-valent meromorphic Bazilevi\'{c} functions defined by fractional $q$-calculus operators

Juma, Abdul Rahman; Abdulhussain, Mushtaq; Al-khafaji, Saba

doi:10.22075/ijnaa.2018.13163.1681

Certain subclass of $p$-valent meromorphic Bazilevi\'{c} functions defined by fractional $q$-calculus operators

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

10.22075/ijnaa.2018.13163.1681

Abstract

The aim of the present paper is to introduce and investigate a new subclass of Bazilevic functions in the punctured unit disk $\mathcal{U}^*$ 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