ON A CLOSE-TO-CONVEX ANALOGUE OF CERTAIN STARLIKE FUNCTIONS

被引：2

作者：

Allu, Vasudevarao ^{[1
]}

Sokol, Janusz ^{[2
]}

Thomas, Derek K. ^{[3
]}

机构：

[1] Indian Inst Technol Bhubaneswar, Sch Basic Sci, Bhubaneswar 752050, Odisha, India

[2] Univ Rzeszow, Fac Math & Nat Sci, Ul Prof Pigonia 1, PL-35310 Rzeszow, Poland

[3] Swansea Univ, Dept Math, Singleton Pk, Swansea SA2 8PP, W Glam, Wales

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2020年 / 102卷 / 02期

关键词：

univalent function; starlike function; convex function; alpha-convex function; coefficient estimate; integral mean;

D O I：

10.1017/S0004972719001606

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For f analytic in the unit disk D, we consider the close-to-convex analogue of a class of starlike functions introduced by R. Singh ['On a class of star-like functions', Compos. Math. 19(1) (1968), 78-82]. This class of functions is defined by vertical bar zf'(z)/g(z) - 1 vertical bar < 1 for z is an element of D, where g is starlike in D. Coefficient and other results are obtained for this class of functions.

引用

页码：268 / 281

页数：14

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