Second Hankel Determinant for the Class of Analytic Functions Defined by New Differential Operator

被引：1
|
作者：
Eghbiq, Abdussalam [1 ]
Darus, Maslina [1 ]
机构：
[1] Univ Kehangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Ukm Bangi 43600, Selangor De, Malaysia
来源：
2017 UKM FST POSTGRADUATE COLLOQUIUM | 2018年 / 1940卷
关键词：
D O I：
10.1063/1.5028024
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, we introduce a general sed derivative operator D-m (lambda, nu, zeta, omega, alpha)f(z): A -> A as follow: D-m (lambda, nu, zeta, omega, alpha)f(z) = z + Sigma(infinity)(k=2) (nu + k - 1)(zeta + lambda)omega(alpha)/nu alpha(k)z(k). New subclass R-m (lambda, nu, zeta, omega, alpha, theta) defined by the general sed derivative operator D-m (lambda, nu, zeta, omega, alpha) is obtained. Sharp bounds for the nonlinear functional vertical bar a(2)a(4) - a(3)(2)vertical bar are found.
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页数：6
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