CONVOLUTION OF SOME SLANTED HALF-PLANE MAPPINGS WITH HARMONIC STRIP MAPPINGS

被引：0
作者：
Sharma, Poonam [1 ]
Mishra, Omendra [1 ]
机构：
[1] Univ Lucknow, Dept Math & Astron, Lucknow 226007, Uttar Pradesh, India
来源：
TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS | 2021年 / 11卷 / 01期
关键词：
Harmonic vertical strip mappings; slanted half-plane mappings; convolution; CONVEX;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we show that the convolution of generalized half-plane mapping and harmonic vertical strip mapping with dilatation e(i theta) z(n) (n is an element of N, theta is an element of R) is convex in a particular direction and also solve the problem proposed by Z. Liu et al. [Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings, Filomat, 31 (2017), no. 7, 1843-1856].
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页码：313 / 318
页数：6
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