On a subclass of harmonic close-to-convex mappings

被引：18

作者：

Ghosh, Nirupam ^{[1
]}

Vasudevarao, A. ^{[1
]}

机构：

[1] Indian Inst Technol Kharagpur, Dept Math, Kharagpur 721302, W Bengal, India

来源：

MONATSHEFTE FUR MATHEMATIK | 2019年 / 188卷 / 02期

关键词：

Analytic; Univalent; Harmonic functions; Starlike; Convex; Close-to-convex functions; Coefficient estimates; Convolution; SECTIONS; STARLIKENESS; RADIUS;

D O I：

10.1007/s00605-017-1138-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let H denote the class of harmonic functions f defined in D:={zC:|z|<1}, and normalized by f(0)=0=fz(0)-1. In this paper, for 0, we consider the subclass WH0() of H, defined by For fWH0(), we prove the Clunie-Sheil-Small coefficient conjecture, and give some growth, convolution, and convex combination theorems. We also determine the value of r so that the partial sums of functions in WH0() are close-to-convex in |z| < r.

引用

页码：247 / 267

页数：21

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