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Janowski星形和凸函数族相关的非线性积分算子性质
引用本文:熊良鹏.Janowski星形和凸函数族相关的非线性积分算子性质[J].数学研究及应用,2016,36(4):432-440.
作者姓名:熊良鹏
作者单位:武汉大学数学与统计学院, 湖北 武汉 430072; 成都理工大学工程技术学院, 四川 乐山 614007
基金项目:四川省教育厅科研项目资助 (Grant No.14ZB0364).
摘    要:In this paper, we consider a general nonlinear integral operator H_(αi),β_i(f_1,..., f_n;g_1,..., g_n)(z). Some results including coefficient problems, univalency condition and radius of convexity for this integral operator are given. Furthermore, we discuss the mapping properties between H_(αi),β_i(f_1,..., f_n; g_1,..., g_n)(z) and subclasses of analytic functions with bounded boundary rotation. The same subjects for some corresponding classes are shown upon specializing the parameters in our main results.

关 键 词:analytic  functions  Janowski  functions  nonlinear  integral  operators  functions  with  bounded  boundary  rotation  subordination
收稿时间:2015/8/22 0:00:00
修稿时间:2016/1/13 0:00:00

Properties of Certain Nonlinear Integral Operator Associated with Janowski Starlike and Convex Functions
Liangpeng XIONG.Properties of Certain Nonlinear Integral Operator Associated with Janowski Starlike and Convex Functions[J].Journal of Mathematical Research with Applications,2016,36(4):432-440.
Authors:Liangpeng XIONG
Institution:School of Mathematics and Statistics, Wuhan University, Hubei 430072, P. R. China; Department of Mathematics, Engineering and Technical College, Chengdu University of Technology, Sichuan 614007, P. R. China
Abstract:In this paper, we consider a general nonlinear integral operator $\mathscr{H}_{\alpha_i,\beta_i}(f_1,\ldots,f_n$; $g_1,\ldots,g_n)(z)$. Some results including coefficient problems, univalency condition and radius of convexity for this integral operator are given. Furthermore, we discuss the mapping properties between $\mathscr{H}_{\alpha_i,\beta_i}(f_1,\ldots,f_n;g_1,\ldots,g_n)(z)$ and subclasses of analytic functions with bounded boundary rotation. The same subjects for some corresponding classes are shown upon specializing the parameters in our main results.
Keywords:analytic functions  Janowski functions  nonlinear integral operators  functions with bounded boundary rotation  subordination
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