Certain Classes of Analytic Functions Related to the Crescent-Shaped Regions

被引：10
作者：
Raina, R. K. [1 ]
Sharma, P. [2 ]
Sokol, J. [3 ]
机构：
[1] Univ Agr & Technol, Udaipur, India
[2] Univ Lucknow, Lucknow, Uttar Pradesh, India
[3] Univ Rzeszow, Rzeszow, Poland
来源：
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2018年 / 53卷 / 06期
关键词：
Analytic functions; convex functions; starlike functions; subordination; k-uniformly convex; k-uniformly starlike; 30C45;
D O I：
10.3103/S1068362318060067
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study certain classes of analytic functions which satisfy a subordination condition and are associated with the crescent-shaped regions. We first give certain integral representations for the functions belonging to these classes and also present a relevant example. Making use of some known lemmas, we derive sufficient conditions for the functions to be in these classes. Some results on coefficient estimates are also obtained.
引用
收藏
页码：355 / 362
页数：8
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