Hankel Determinant for Transforms of Pre-Starlike Functions of Order Alpha

被引：0
|
作者：
Krishna, D. Vamshee [1 ]
Venkateswarlu, B. [1 ]
RamReddy, T. [2 ]
机构：
[1] GITAM Univ, GITAM Inst Technol, Dept Math, Visakhapatnam 530045, Andhra Pradesh, India
[2] Kakatiya Univ, Dept Math, Warangal 506009, TS, India
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2016年 / 40卷 / 01期
关键词：
Analytic function; Pre-Starlike function; Starlike function; Convex function; Upper bound; Second Hankel functional; Positive real function; Convolution; Toeplitz determinants;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The objective of this paper is to obtain an upper bound for the second Hankel functional associated with the k-th root transform [f(z(k))](1/k) of normalized analytic function f(z) defined on the open unit disc in the complex plane for the function f when it belongs to the class of pre-starlike functions of order alpha (0 <= alpha <= 1), using Toeplitz determinants.
引用
收藏
页码：131 / 140
页数：10
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