Öznur ÖZKAN KILIÇ, Nuray EROĞLU

79109

On a subclass of the generalized Janowski type functions of complex order

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,

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Hacettepe Journal of Mathematics and Statistics-Cover
  • Yayın Aralığı: 6
  • Başlangıç: 2002
  • Yayıncı: Hacettepe Üniversitesi Fen Fakultesi
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