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Journals / Hacettepe Journal of Mathematics and Statistics / 2020 / Cilt: 49 - Sayı: 5

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

Öznur ÖZKAN KILIÇ
Nuray EROĞLU
Pages
1726–1734
Publication Date
2020-10-06
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Some consequences of our main theorems are same as the results obtained in the earlier studies.

📌 3 Key Takeaways

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Objective & Hypothesis: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 \}$.
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Key Findings & Data:The bound for the n-th coefficient and subordination relation are obtained for the functions belonging to this class.
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Conclusion & Impact:Some consequences of our main theorems are same as the results obtained in the earlier studies.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Analytic function · Subordination · $ \lambda$-spirallike function

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.

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Cite This Article

KILIÇ, Ö. Ö., EROĞLU, N. (2020). On a subclass of the generalized Janowski type functions of complex order. Hacettepe Journal of Mathematics and Statistics, Cilt: 49 - Sayı: 5, 1726–1734. https://ajindex.com/articles/669269

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