On the Largest Disc Mapped by Sum of Convex and Starlike Functions

被引：2

作者：

Ali, Rosihan M. ^{[1
]}

Jain, Naveen Kumar ^{[2
]}

Ravichandran, V. ^{[2
]}

机构：

[1] Univ Sains Malaysia, Sch Math Sci, George Town 11800, Malaysia

[2] Univ Delhi, Dept Math, Delhi 110007, India

来源：

ABSTRACT AND APPLIED ANALYSIS | 2013年

关键词：

RADII;

D O I：

10.1155/2013/682413

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a normalized analytic function f defined on the unit disc D, let phi(f, f', f"; z) be a function of positive real part in D, psi(f, f', f''; z) need not have that property in D, and chi = phi + psi. For certain choices of phi and psi a sharp radius constant rho is determined, 0 < rho < 1, so that chi(rho z)/rho maps D onto a specified region in the right half-plane.

引用

页数：12

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