与某些双不等价函数子类相关的Fekete-Szegö类型函数
Sa'ud Al-Sa'di1, Ibrar Ahmad2, Syed Ghoos Ali Shah2
1Department of Mathematics, Faculty of Science, The Hashemite University, Zarqa, 13133, Jordan.
Heliyon
|December 13, 2024
概括
这项研究引入了与斐波那契数和状曲线相关的新的双不等价函数. 它分析了它们的初始系数和Fekete-Szegö不等式,为函数理论提供了新的见解.
科学领域:
- 复杂分析 复杂分析
- 几何函数理论几何函数理论
背景情况:
- 双不等价函数是几何函数理论中研究的一个重要领域.
- 之前的研究已经探索了各种子类及其属性.
研究的目的:
- 定义和研究双不等价函数的新型子类.
- 探索这些函数与斐波纳契数和状曲线的关联.
- 分析系数估计和Fekete-Szegö类型的不平等.
主要方法:
- 定义新的函数子类.
- 估计前两个泰勒-麦克劳林系数.
- 应用Fekete-Szegö不等式的技术.
主要成果:
- 估计了新子类的前两个泰勒-麦克劳林系数.
- 对于这些函数类,Fekete-Szegö类型的不等式是导出的.
- 介绍了扩展现有结果的新推论.
结论:
- 该研究成功地定义和分析了新的双不等价函数子类.
- 这些发现有助于理解这个领域的系数属性和不平等.
- 结果为复杂分析的相关领域的进一步研究提供了潜力.
关键词:
30C4545 这是一个很好的例子.30C5050 这是一个很好的例子.分析函数是一种分析函数.双不等价的函数是双不等价的函数有关系数的边界.在Fekete-Szegö的功能上.斐波纳契数是指一个斐波纳契数.像外一样的曲线.q-差异运算符的差异运算符更多相关视频
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