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Frasin, B.A, Murugusundaramoorthy, Gangadharan, Bulboacă, Teodor. (1401). Subclasses of κ--uniformly starlike and κ--uniformly Convex functions associated with Pascal distribution series. نشریه هنرهای کاربردی, 14(1), 853-863. doi: 10.22075/ijnaa.2022.25270.2973
B.A Frasin; Gangadharan Murugusundaramoorthy; Teodor Bulboacă. "Subclasses of κ--uniformly starlike and κ--uniformly Convex functions associated with Pascal distribution series". نشریه هنرهای کاربردی, 14, 1, 1401, 853-863. doi: 10.22075/ijnaa.2022.25270.2973
Frasin, B.A, Murugusundaramoorthy, Gangadharan, Bulboacă, Teodor. (1401). 'Subclasses of κ--uniformly starlike and κ--uniformly Convex functions associated with Pascal distribution series', نشریه هنرهای کاربردی, 14(1), pp. 853-863. doi: 10.22075/ijnaa.2022.25270.2973
Frasin, B.A, Murugusundaramoorthy, Gangadharan, Bulboacă, Teodor. Subclasses of κ--uniformly starlike and κ--uniformly Convex functions associated with Pascal distribution series. نشریه هنرهای کاربردی, 1401; 14(1): 853-863. doi: 10.22075/ijnaa.2022.25270.2973

Subclasses of κ--uniformly starlike and κ--uniformly Convex functions associated with Pascal distribution series

International Journal of Nonlinear Analysis and Applications
مقاله 65، دوره 14، شماره 1، فروردین 2023، صفحه 853-863    اصل مقاله (412.67 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25270.2973
نویسندگان
B.A Frasin* 1؛ Gangadharan Murugusundaramoorthy2؛ Teodor Bulboacă3
1Faculty of Science, Department of Mathematics, Al al-Bayt University, Mafraq, Jordan
2School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, India
3Faculty of Mathematics and Computer Science, Babeş-Bolyai University, 400084 Cluj-Napoca, Romania
تاریخ دریافت: 26 آبان 1400،  تاریخ بازنگری: 25 اسفند 1400،  تاریخ پذیرش: 19 فروردین 1401 
چکیده
The purpose of the present paper is to find the necessary and sufficient conditions and inclusion relations for Pascal distribution series to be in some subclasses of analytic univalent functions of κ--starlike and κ--uniformly convex functions of order ϑ in the open unit disk U. Further, we consider an integral operator related to Pascal distribution series, and several corollaries and consequences of the main results are also considered.
کلیدواژه‌ها
Univalent؛ Starlike؛ Convex؛ Uniformly starlike functions؛ Uniformly convex functions؛ Hadamard product؛ Pascal distribution series
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