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A new subclass of bi-univalent functions associated with q-Chebychev polynomial | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 144، دوره 14، شماره 1، فروردین 2023، صفحه 1849-1856 اصل مقاله (366.86 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.28252.3845 | ||
| نویسندگان | ||
| Kavitha D* 1؛ K. Dhanalakshmi2؛ P. Manikandan3 | ||
| 1Department of Mathematics, SRM Institute of Science and Technology, Ramapuram, Chennai, 605108, Tamilnadu, India | ||
| 2PG & Research Department of Mathematics, Theivanai Ammal College for Women (Autonomous), Villupuram, 605602, Tamilnadu, India | ||
| 3Department of Mathematics, Anjalai Ammal Mahalingam Engineering College, Kovilvenni, 614403, Tamilnadu, India | ||
| تاریخ دریافت: 08 شهریور 1401، تاریخ بازنگری: 27 شهریور 1401، تاریخ پذیرش: 02 مهر 1401 | ||
| چکیده | ||
| In this article, using the concept of q-analogue, we define a new class of analytic functions associated with Chebyshev polynomial of second kind. Then with the help of symmetric q-Chebyshev polynomial, we introduce and estimating first two Maclaurin coefficients for new subclasses of analytic functions. Also as application of the results, we estimate the relevant connection to the famous classical Fekete- Szegö inequality belonging to the class $\tilde{S}_{\Sigma}^{q}(\lambda,\gamma,s).$ | ||
| کلیدواژهها | ||
| Univalent functions؛ Subordination؛ q-derivative؛ q-Chebyshev polynomial and Fekete-Szegö inequality | ||
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