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

页码：685 / 694

页数：10

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