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Generalized bivariate Fibonacci polynomials for a comprehensive subfamily of bi-univalent functions | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 26 تیر 1405 اصل مقاله (376.62 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2025.37562.5452 | ||
| نویسنده | ||
| Sondekola Rudra Swamy* | ||
| Department of Information Science and Engineering, Acharya Institute of Technology, Bengaluru- 560 107, Karnataka, India | ||
| تاریخ دریافت: 08 اردیبهشت 1404، تاریخ بازنگری: 20 خرداد 1404، تاریخ پذیرش: 24 خرداد 1404 | ||
| چکیده | ||
| Our present investigation is primarily motivated by the broad and impactful applications of special polynomials in geometric function theory. In particular, the generalized bivariate Fibonacci polynomials have recently attracted attention in the study of bi-univalent functions. In this article, we introduce and analyze a comprehensive subfamily of bi-univalent functions characterized by these generalized Fibonacci polynomials in two variables. This polynomial sequence is chosen due to its flexibility, as numerous other polynomial families can be derived through appropriate specialization of its parameters. By applying the subordination technique, we derive bounds for the initial coefficients of functions belonging to this subfamily and investigate the associated Fekete–Szegö problem. In addition to presenting several new findings, we also explore meaningful connections with previously established results in the theory of bi-univalent and subordinate functions, thereby extending and unifying existing literature in a novel direction. | ||
| کلیدواژهها | ||
| Holomorphic functions؛ generalized bivariate Fibonacci polynomials؛ bi-univalent functions؛ subordination | ||
| مراجع | ||
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