Priya H, Sruthakeerthi B
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Chennai Campus, Chennai, India.
Sci Rep. 2023 Sep 2;13(1):14436. doi: 10.1038/s41598-023-41734-w.
This present work provides the initial co-efficient bounds of the function f(z) which is defined in open unit disk [Formula: see text]. We introduced bi-univalent class [Formula: see text]. Making use of Horadam polynomials [Formula: see text] and the generating function [Formula: see text], we estimated the bounds of [Formula: see text] and [Formula: see text] for the given function to be in the defined class. Moreover Fekete-Szego inequalities are calculated. In addition to all the results obtained mathematically, we provide application for Horadam polynomial in computer vision.
本工作给出了在开单位圆盘[公式：见正文]中定义的函数f(z)的初始系数界。我们引入了双单叶函数类[公式：见正文]。利用霍拉达姆多项式[公式：见正文]和生成函数[公式：见正文]，我们估计了给定函数属于定义类时[公式：见正文]和[公式：见正文]的界。此外，还计算了费克特 - 塞戈不等式。除了所有通过数学方法得到的结果外，我们还给出了霍拉达姆多项式在计算机视觉中的应用。
