Second Hankel determinant for universally prestarlike functions related with exponential function

被引：0
|
作者：
Guney, H. Ozlem [1 ]
Murugusundaramoorthy, G. [2 ]
Vijaya, K. [2 ]
机构：
[1] Dicle Univ, Dept Math, Fac Sci, Diyarbakir, Turkey
[2] Vellore Inst technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
来源：
AFRIKA MATEMATIKA | 2021年 / 32卷 / 5-6期
关键词：
Analytic functions; Prestarlike functions; Universally prestarlike functions; Exponential function; Second Hankel determinant;
D O I：
10.1007/s13370-020-00853-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In Ruscheweyh and Salinas (Math Z 263:607-617, 2009) and Ruscheweyh et al. (Isreal J Math 171:285-304, 2009) the researchers introduced universally convex,universally starlike and universally prestarlike functions in the slit domain C\[1, infinity). These papers extended the corresponding notions from the unit disc to other discs and half-planes containing the origin. In this paper, we consider universally prestarlike generalized functions of order alpha with alpha <= 1 and we obtain upper bounds of the second Hankel determinant vertical bar a(2)a(4) - a(3)(2)vertical bar for such functions related with exponential function.
引用
收藏
页码：685 / 694
页数：10
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