Coefficient Estimates of some Classes of Rational Functions

H. Darwish, S. Sowileh, A. Y. Lashin
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引用次数: 2

Abstract

Let A be the class of analytic and univalent functions in the open unit disc ∆ normalized such that f(0) = 0 = f ′(0)− 1. In this paper, for ψ ∈ A of the form z f(z) , f(z) = 1 + ∞ ∑ n=1 anz n and 0 ≤ α ≤ 1, we introduce and investigate interesting subclasses Hσ(φ), Sσ(α, φ), Mσ(α, φ), =α(α, φ) and βα(λ, φ) (λ ≥ 0) of analytic and bi-univalent Ma-Minda starlike and convex functions. Furthermore, we find estimates on the coefficients |a1| and |a2| for functions in these classess. Several related classes of functions are also considered. Mathematics Subject Classification: 30C45.
一类有理函数的系数估计
设A是开单位圆盘∆中的一类解析函数和单价函数,归一化为f(0)=0=f′(0)−1。本文对形式为z f(z),f(z)=1+∞∑n=1anz n和0≤α≤1的ψ∈A,引入并研究了解析和双价马民达星形和凸函数的有趣的子类Hσ(φ),Sσ(α,φ),Mσ(α),=α(α,Φ)和βα(λ,φ)(λ≥0)。此外,我们还得到了这些类中函数的系数|a1|和|a2|的估计。还考虑了几个相关的函数类。数学学科分类:30C45。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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