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On certain subclasses of close-to-convex and quasi-convex functions with respect to k-symmetric points

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成果类型:
期刊论文
作者:
Wang, Zhi-Gang*;Gao, Chun-Yi;Yuan, Shao-Mou
通讯作者:
Wang, Zhi-Gang
作者机构:
[Wang, Zhi-Gang; Yuan, Shao-Mou; Gao, Chun-Yi] Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha 410076, Hunan, Peoples R China.
通讯机构:
[Wang, Zhi-Gang] C
Changsha Univ Sci & Technol, Coll Math & Comp Sci, Changsha 410076, Hunan, Peoples R China.
语种:
英文
关键词:
close-to-convex functions;quasi-convex functions;differential subordination;Hadamard product (or convolution);k-symmetric points;STARLIKE FUNCTIONS
期刊:
Journal of Mathematical Analysis and Applications
ISSN:
0022-247X
年:
2006
卷:
322
期:
1
页码:
97-106
基金类别:
This work is supported by Scientific Research Fund of Hunan Provincial Education Department, PR China. Corresponding author. E-mail address: zhigwang@163.com (Z.-G. Wang).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学院
摘要:
In the present paper, the authors introduce two new subclasses Ss( k ) ( φ{symbol} ) of close-to-convex functions and Cs( k ) ( φ{symbol} ) of quasi-convex functions. The integral representations for functions belonging to these classes are provided, the convolution conditions, growth theorems, distortion theorems and covering theorems for these classes are also provided. The results obtained generalize some known results, and some other new resu...

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