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 | ||
| 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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