Some Starlikeness Criterions for Analytic Functions

被引：0

作者：

Gejun Bao

Lifeng Guo

Yi Ling

机构：

[1] Harbin Institute of Technology,Department of Mathematics

[2] Delaware State University,Department of Mathematical Science

来源：

Journal of Inequalities and Applications | / 2010卷

关键词：

Positive Integer; Analytic Function; Unit Disk; Simple Calculation; Minimum Point;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We determine the condition on [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], and [inline-graphic not available: see fulltext] for which [inline-graphic not available: see fulltext] implies [inline-graphic not available: see fulltext], where [inline-graphic not available: see fulltext] is the class of starlike functions of order [inline-graphic not available: see fulltext]. Some results of Obradović and Owa are extended. We also obtain some new results on starlikeness criterions.

引用

共 8 条

[1]

Singh V(1977)Univalent functions with bounded derivative in the unit disc Indian Journal of Pure and Applied Mathematics 8 1370-1377

[2]

Fournier R(1989)On integrals of bounded analytic functions in the closed unit disc Complex Variables. Theory and Application 11 125-133

[3]

Fournier R(1990)The range of a continuous linear functional over a class of functions defined by subordination Glasgow Mathematical Journal 32 381-387

[4]

Obradović M(1998)A class of univalent functions Hokkaido Mathematical Journal 27 329-335

[5]

Obradović M(2000)Some sufficient conditions for strongly starlikeness International Journal of Mathematics and Mathematical Sciences 24 643-647

[6]

Owa S(1975)Subordination by convex functions Proceedings of the American Mathematical Society 52 191-195

[7]

Hallenbeck DJ(undefined)undefined undefined undefined undefined-undefined

[8]

Ruscheweyh S(undefined)undefined undefined undefined undefined-undefined

← 1 →