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

نویسندگان
Juma, Abdul Rahman ID 1
Abdulhussain, Mushtaq ID 2
Al-khafaji, Saba ID 3

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

2 Department of Mathematics, Mustansiriyah University, Iraq

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

doi
10.22075/ijnaa.2018.13163.1681
چکیده

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.

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