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.

引用

页数：6