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A Subclass of bi-univalent functions by Tremblay differential operator satisfying subordinate conditions | ||
| Journal of Mahani Mathematical Research | ||
| دوره 12، شماره 2 - شماره پیاپی 25، مرداد 2023، صفحه 431-441 اصل مقاله (337.41 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmr.2023.20022.1312 | ||
| نویسندگان | ||
| Somayeh Fadaei1؛ Shahram Najafzadeh* 1؛ Ali Ebadian2 | ||
| 1Department of Mathematics, Payame Noor University, P.O.Box 19395-3697, Tehran, Iran | ||
| 2Department of Mathematics, Urmia University, Urmia, Iran | ||
| چکیده | ||
| In this paper, we introduce a newly defined subclass $\mathcal{S}_{\Sigma}(\vartheta,\gamma,\eta;\varphi) $ of bi-univalent functions by using the Tremblay differential operator satisfying subordinate conditions in the unit disk. Moreover, we use the Faber polynomial expansion to derive bounds for the Fekete-Szego problem and first two \emph{Taylor-Maclaurin coefficients} $|a_2|$ and $|a_3|$ for functions of this class. | ||
| کلیدواژهها | ||
| Analytic function؛ Bi-univalent function؛ Coefficient estimates؛ Faber polynomial expansion؛ Tremblay fractional derivative operator | ||
| مراجع | ||
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