A class of bi-univalent functions defined by (p, q)-derivative operator subordinate to (m, n)-Lucas polynomials

	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
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
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