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

#### Öznur ÖZKAN KILIÇ [1] , Nuray EROĞLU [2]

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.
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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Primary Language en Mathematics Mathematics Orcid: 0000-0003-4209-9320Author: Öznur ÖZKAN KILIÇ (Primary Author)Institution: Baskent UniversityCountry: Turkey Orcid: 0000-0020-0780-2247Author: Nuray EROĞLU Institution: NAMIK KEMAL UNIVERSITYCountry: Turkey Publication Date : October 6, 2020
 Bibtex @research article { hujms605621, journal = {Hacettepe Journal of Mathematics and Statistics}, issn = {2651-477X}, eissn = {2651-477X}, address = {}, publisher = {Hacettepe University}, year = {2020}, volume = {49}, pages = {1726 - 1734}, doi = {10.15672/hujms.605621}, title = {On a subclass of the generalized Janowski type functions of complex order}, key = {cite}, author = {Özkan Kılıç, Öznur and Eroğlu, Nuray} } APA Özkan Kılıç, Ö , Eroğlu, N . (2020). On a subclass of the generalized Janowski type functions of complex order . Hacettepe Journal of Mathematics and Statistics , 49 (5) , 1726-1734 . DOI: 10.15672/hujms.605621 MLA Özkan Kılıç, Ö , Eroğlu, N . "On a subclass of the generalized Janowski type functions of complex order" . Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1726-1734 Chicago Özkan Kılıç, Ö , Eroğlu, N . "On a subclass of the generalized Janowski type functions of complex order". Hacettepe Journal of Mathematics and Statistics 49 (2020 ): 1726-1734 RIS TY - JOUR T1 - On a subclass of the generalized Janowski type functions of complex order AU - Öznur Özkan Kılıç , Nuray Eroğlu Y1 - 2020 PY - 2020 N1 - doi: 10.15672/hujms.605621 DO - 10.15672/hujms.605621 T2 - Hacettepe Journal of Mathematics and Statistics JF - Journal JO - JOR SP - 1726 EP - 1734 VL - 49 IS - 5 SN - 2651-477X-2651-477X M3 - doi: 10.15672/hujms.605621 UR - https://doi.org/10.15672/hujms.605621 Y2 - 2019 ER - EndNote %0 Hacettepe Journal of Mathematics and Statistics On a subclass of the generalized Janowski type functions of complex order %A Öznur Özkan Kılıç , Nuray Eroğlu %T On a subclass of the generalized Janowski type functions of complex order %D 2020 %J Hacettepe Journal of Mathematics and Statistics %P 2651-477X-2651-477X %V 49 %N 5 %R doi: 10.15672/hujms.605621 %U 10.15672/hujms.605621 ISNAD Özkan Kılıç, Öznur , Eroğlu, Nuray . "On a subclass of the generalized Janowski type functions of complex order". Hacettepe Journal of Mathematics and Statistics 49 / 5 (October 2020): 1726-1734 . https://doi.org/10.15672/hujms.605621 AMA Özkan Kılıç Ö , Eroğlu N . On a subclass of the generalized Janowski type functions of complex order. Hacettepe Journal of Mathematics and Statistics. 2020; 49(5): 1726-1734. Vancouver Özkan Kılıç Ö , Eroğlu N . On a subclass of the generalized Janowski type functions of complex order. Hacettepe Journal of Mathematics and Statistics. 2020; 49(5): 1726-1734.

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