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A class of bi-univalent functions defined by (p, q)-derivative operator subordinate to (m, n)-Lucas polynomials | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 10، دوره 17، شماره 3، خرداد 2026، صفحه 139-148 اصل مقاله (427.4 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34951.5218 | ||
| نویسندگان | ||
| S.R. Swamy* ؛ M. D. Mary؛ V. Ushakumari | ||
| Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru- 560 107, Karnataka, India | ||
| تاریخ دریافت: 14 تیر 1403، تاریخ پذیرش: 09 شهریور 1403 | ||
| چکیده | ||
| We propose a category of normalized analytic functions given by $g(\zeta)=\zeta+\sum\limits_{j=2}^{\infty}d_j\zeta^j$ that are bi-univalent in the unit disc defined by (p,q)-derivative operator, subordinate to (m,n)-Lucas polynomials. For members of this family, we determine estimates for the coefficients $|d_2|$ and $|d_3|$ and the Fekete-Szego result. New implications of the primary result, as well as pertinent links to previously published findings, are also provided. | ||
| کلیدواژهها | ||
| Bi-univalent function؛ $(p؛ q)$-derivative operator؛ $(m؛ n)$-Lucas polynomial؛ Fekete-Szeg\"o problem | ||
| مراجع | ||
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