与三叶函数相关的星形函数和凸函数的二阶和三阶汉克尔行列式。
The second and third Hankel determinants for starlike and convex functions associated with Three-Leaf function.
作者信息
Riaz Amina, Raza Mohsan, Binyamin Muhammad Ahsan, Saliu Afis
机构信息
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan.
Department of Mathematics, Government College University Faisalabad, Pakistan.
出版信息
Heliyon. 2023 Jan 10;9(1):e12748. doi: 10.1016/j.heliyon.2022.e12748. eCollection 2023 Jan.
Abstract
In this paper, we give sharp bounds of the Hankel determinant for the coefficients of functions in the class of starlike functions related to a domain that is like three leaves. We also give sharp bounds for the Hankel determinants and for the coefficients of functions in the class of convex functions related to the three-leaf-like domain.
摘要
在本文中，我们给出了与三叶形区域相关的星形函数类中函数系数的汉克尔行列式的精确界。我们还给出了与三叶形区域相关的凸函数类中函数系数的汉克尔行列式 和 的精确界。
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