On certain subclasses of starlike and convex functions associated with Pascal distribution series

被引：5
|
作者：
Seker, Bilal [1 ]
Eker, Sevtap Sumer [1 ]
机构：
[1] Dicle Univ, Dept Math, Fac Sci, Diyarbakir, Turkey
来源：
TURKISH JOURNAL OF MATHEMATICS | 2020年 / 44卷 / 06期
关键词：
Univalent functions; Pascal distributions; coefficient bounds and coefficient estimates;
D O I：
10.3906/mat-2003-12
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we introduced a new power series whose coefficients are probabilities of the Pascal distribution. We investigated new approaches between the Pascal distribution series and some subclasses of normalized analytic functions. Also, we defined some mappings containing these functions the Alexander type integral operator. Moreover, we obtained sufficient conditions such that these mappings belong to some subclass of univalent functions.
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页码：1982 / 1989
页数：8
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