- Hacettepe Journal of Mathematics and Statistics
- Vol: 49 Issue: 5
- On a subclass of the generalized Janowski type functions of complex order
On a subclass of the generalized Janowski type functions of complex order
Authors : Öznur Özkan Kiliç, Nuray Eroğlu
Pages : 1726-1734
Doi:10.15672/hujms.605621
View : 12 | Download : 5
Publication Date : 2020-10-06
Article Type : Research
Abstract :In this paper, we introduce the class $\mathcal {JR}^{\lambda}_{b}\left(\alpha,\beta, \delta, A,B\right)$ of generalized Janowski type functions of complex order defined by using the Ruscheweyh derivative operator in the open unit disc $ \mathbb D=\left \{z\in \mathbb C: \left \vert z\right \vert <1\right \}$. The bound for the n-th coefficient and subordination relation are obtained for the functions belonging to this class. Some consequences of our main theorems are same as the results obtained in the earlier studies.Keywords : Analytic function, Subordination, $ lambda$-spirallike function, $ lambda$-Robertson function, $ lambda$-close-to-spirallike function, $ lambda$-close-to-Robertson function, Ruscheweyh derivative operator