Starlikeness of the Gaussian hypergeometric functions

被引：24

作者：

Hasto, Peter ^{[1
]}

Ponnusamy, S. ^{[2
]}

Vuorinen, M. ^{[3
]}

机构：

[1] Univ Oulu, Dept Math Sci, FI-90014 Oulu, Finland

[2] Indian Inst Technol Madras, Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India

[3] Univ Turku, Dept Math, FIN-20014 Turku, Finland

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2010年 / 55卷 / 1-3期

关键词：

Gaussian hypergeometric functions; univalence; starlikeness; convexity; Carlson-Shaffer convolution operator; CONVEXITY PROPERTIES; UNIVALENT FUNCTIONS; INEQUALITIES; PLANE; ORDER;

D O I：

10.1080/17476930903276134

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we derive conditions on the parameters a, b, c so that the function zF(a, b; c; z) is starlike in D, where F(a, b; c; z) denotes the classical hypergeometric function. We give some consequences of our results including some mapping properties of convolution operator.

引用

页码：173 / 184

页数：12

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