汤获,Zayed H M,Mostafa A O,Aouf M K.一致星象和凸象超几何函数的一些性质[J].数学年刊A辑,2020,41(1):053~68 |
一致星象和凸象超几何函数的一些性质 |
Some Characterizations of Uniformly Starlike and Convex Hypergeometric Functions |
Received:April 10, 2018 |
DOI:10.16205/j.cnki.cama.2020.0004 |
中文关键词: Univalent, Starlike, Convex, Uniformlystarlike, Uniformly convex, Hypergeometric functions, Convolution invariance |
英文关键词:Univalent, Starlike, Convex, Uniformlystarlike, Uniformly convex, Hypergeometric functions, Convolution invariance |
基金项目: |
Author Name | Affiliation | E-mail | TANG Huo | Corresponding author. School of Mathematics and Statistics, Chifeng University, Chifeng 024000, Inner Mongolia, China. | thth2009@163.com | ZAYED H M | Department of Mathematics, Faculty of Science, Menofia University, Shebin Elkom 32511, Egypt. | hanaa_zayed42@yahoo.com | MOSTAFA A O | Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt. | adelaeg254@yahoo.com | AOUF M K | Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt. | mkaouf127@yahoo.com |
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中文摘要: |
介绍了(高斯)超几何函数属于一致星象函数和一致凸函数的某些子类的一些性质. 还考虑了与超几何函数相关的算子. |
英文摘要: |
The purpose of this paper is to introduce some characterizations of
(Gaussian) hypergeometric function to be in various subclasses of uniformly
starlike and uniformly convex functions. Operators related to hypergeometric
functions are also considered. |
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