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 : 21 | Download : 10

Publication Date : 2020-10-06

Article Type : Research Paper

Abstract :In this paper, we introduce the class $\mathcal {JR}^{\lambda}_{b}\leftinsert ignore into journalissuearticles values(\alpha,\beta, \delta, A,B\right);$ 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