An application of the power series distribution for univalent function classes with positive coefficients

Gangadharan, Murugusundaramoorthy; Yalçın, Sibel; Yaşar, Elif; Çakmak, Serkan

doi:10.22075/ijnaa.2022.22768.2414

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	An application of the power series distribution for univalent function classes with positive coefficients
International Journal of Nonlinear Analysis and Applications
مقاله 24، دوره 14، شماره 5، مرداد 2023، صفحه 259-265 اصل مقاله (373.7 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.22768.2414
نویسندگان
Murugusundaramoorthy Gangadharan¹؛ Sibel Yalçın^* ²؛ Elif Yaşar²؛ Serkan Çakmak³
¹School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632014, India
²Department of Mathematics, Faculty of Arts and Sciences, Bursa Uludag University, Bursa, Turkey
³Istanbul Gelisim University, Istanbul, Turkey
تاریخ دریافت: 06 اسفند 1399، تاریخ پذیرش: 31 فروردین 1400
چکیده
The primary motivation of the paper is to give necessary and sufficient condition for the power series distribution (Pascal model) to be in the subclasses $\mathcal{VS}_{p}\left( \vartheta ,\gamma ,\kappa \right) $ and $\mathcal{VC}_p(\vartheta ,\gamma ,\kappa )$ of analytic functions. Further, to obtain certain connections between the Pascal distribution series and subclasses of normalized analytic functions whose coefficients are probabilities of the Pascal distribution.
کلیدواژه‌ها
Analytic functions؛ univalent functions؛ power series distribution

مراجع
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An application of the power series distribution for univalent function classes with positive coefficients