ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS 1

数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (4): 597-602.

ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS 1

Vikramaditya Singh and Nikola Tuneski

出版日期:2004-10-20 发布日期:2004-10-20

ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS 1

Vikramaditya Singh and Nikola Tuneski

3A/95 Azad Nagar, Kanpur UP 208 002 India
Faculty of Mechanical Engineering, Karpoˇs II b.b., 1000 Skopje, Republic of Macedonia

Online:2004-10-20 Published:2004-10-20

摘要/Abstract

摘要：

In this paper the authors study (1 − + zf′′(z)/f′(z))/(zf′(z)/f(z)) as acriteria for starlikeness and convexity. Sharp upper bound of |a2| and of the Fekete-Szeg¨ofunctional |a3−μa22| is given for a class of analytic functions defined by using this expression.

关键词: Starlike convex;criteria;Fekete-Szego

Abstract:

In this paper the authors study (1 −
+ zf′′(z)/f′(z))/(zf′(z)/f(z)) as a
criteria for starlikeness and convexity. Sharp upper bound of |a2| and of the Fekete-Szeg¨o
functional |a3−μa2
2| is given for a class of analytic functions defined by using this expression.

Key words: Starlike convex;criteria;Fekete-Szego

中图分类号:

30C45

Vikramaditya Singh and Nikola Tuneski. ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS 1[J]. 数学物理学报(英文版), 2004, 24(4): 597-602.

Vikramaditya Singh and Nikola Tuneski. ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS 1[J]. Acta mathematica scientia,Series B, 2004, 24(4): 597-602.

[1]	刘名生. ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION[J]. 数学物理学报(英文版), 2002, 22(3): 388-392.
[2]	彭志刚, 刘伦刚. EXTREME POINTS AND SUPPORT POINTS OF A CLASS OF ANALYTIC FUNCTIONS[J]. 数学物理学报(英文版), 2000, 20(1): 131-136.
[3]	彭志刚. THE SUPPORT POINTS AND EXTREME POINTS OF THE UNIT BALL OF H'_P~ 1[J]. 数学物理学报(英文版), 1999, 19(2): 181-189.

ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS 1

ON CRITERIA FOR STARLIKENESS AND CONVEXITY OF ANALYTIC FUNCTIONS 1

PDF (PC)

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 3

Metrics

本文评价

推荐阅读 10