涉及\(\beta\)-盖根堡多项式的\(\alpha\)-博雷尔分布级数在双单叶函数子类中的应用。
Applications of -Borel distribution series involving -Gegenbauer polynomials to subclasses of bi-univalent functions.
作者信息
Al-Hawary T, Alsoboh A, Amourah A, Ogilat O, Harny I, Darus M
机构信息
Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan.
Department of Mathematics, Philadelphia University, 19392 Amman, Jordan.
出版信息
Heliyon. 2024 Jul 9;10(14):e34187. doi: 10.1016/j.heliyon.2024.e34187. eCollection 2024 Jul 30.
This study introduces a new class of bi-univalent functions in the open disk using -Borel distribution series and -Gegenbauer polynomials. It provides estimates for the Taylor coefficients and for this family of functions, as well as solutions for the Fekete-Szegö functional problems associated with this subclass. The study presents various innovative findings that result from the unique parameters used in the main results.
本研究利用 - 博雷尔分布级数和 - 盖根堡多项式在开圆盘内引入了一类新的双单叶函数。它给出了该函数族的泰勒系数 和 的估计，以及与此子类相关的费克特 - 塞格奥泛函问题的解。该研究呈现了由主要结果中使用的独特参数所产生的各种创新发现。
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