SOME CLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH CONIC REGIONS

被引：29

作者：

Sim, Young Jae ^{[2
]}

Kwon, Oh Sang ^{[2
]}

Cho, Nak Eun ^{[3
]}

Srivastava, H. M. ^{[1
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] Kyungsung Univ, Dept Math, Pusan 608736, South Korea

[3] Pukyong Natl Univ, Dept Appl Math, Pusan 608737, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2012年 / 16卷 / 01期

基金：

加拿大自然科学与工程研究理事会; 新加坡国家研究基金会;

关键词：

Analytic functions; Univalent functions; Uniformly convex functions; Uniformly starlike functions; Conformal mapping; Principle of subordination between analytic functions; Caratheodory function; Differential subordination; Fekete-Szego problem; Hadamard product (or convolution); UNIFORMLY CONVEX; STARLIKE;

D O I：

10.11650/twjm/1500406547

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of the present paper is to introduce and investigate the function classes k-SP (alpha, beta) and k-UCV (alpha, beta) of analytic functions associated with conic regions in the open unit disk U, which generalize the function classes defined and studied in a series of earlier papers by Kanas et al. [11, 12, 13, 14]. In particular, we consider the extremal problems for each of the above-mentioned function classes. The Fekete-Szego problem is also considered for functions in the class k-SP(alpha, beta). Moreover, we investigate some mapping properties for each of the function classes k-SP(alpha, beta) and k-UCV(alpha, beta).

引用

页码：387 / 408

页数：22

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