米勒-罗斯波桑分布及其应用在与霍拉达姆多项式相关的某些类别的双不等价函数上
Omar Alnajar1, Osama Ogilat2, Ala Amourah3
1Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia.
Heliyon
|May 1, 2024
概括
这项研究引入了由Horadam多项式和Poisson分布序列特征的新型双不等价函数. 对于这些函数,Fekete-Szego函数和泰勒-麦克劳林系数的新系数估计得出.
科学领域:
- 复杂分析复杂的分析.
- 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双不等价函数的各种子类.
研究的目的:
- 引入和定义一个新的类别的双不等价函数.
- 用Horadam多项式和特定序列扩展来描述这些函数.
- 为新的子类推导出Fekete-Szego函数和Taylor-Maclaurin系数的系数估计.
主要方法:
- 使用霍拉达姆多项式.
- 使用米勒-罗斯类型的波桑分布的数列.
- 为特定的函数和序列构建系数估计.
主要成果:
- 引入了新的双不等价函数.
- 对Fekete-Szego函数的精确估计的推导.
- 获得了泰勒-麦克劳林系数和泰勒-麦克劳林系数的估计值.
结论:
- 该研究成功地定义了新的双不等价函数,并得出了重要的系数估计.
- 这些发现有助于理解双不等价函数及其属性.
- 建议对这些新子类的特征进行进一步调查.
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