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国家自然科学基金(11261022): 作品数：14被引量：18H指数：4; 导出分析报告; 相关作者：徐庆华刘太顺黄翠叶中秋张宇芳更多>>; 相关机构：江西师范大学湖州师范学院滁州学院更多>>; 相关期刊：《江西师范大学学报（自然科学版）》《Acta Mathematica Scientia》《Chinese Annals of Mathematics,Series B》《Chinese Quarterly Journal of Mathematics》更多>>; 相关主题：FEKETE-SZEGOPROBLEMCOEFFICIENTBOUNDSHARP更多>>; 相关领域：理学建筑科学更多>>

The Schwarzian Derivative of Harmonic Mappings in the Plane被引量：4: 《Chinese Annals of Mathematics,Series B》2020年第2期193-208,共16页Liping NIE Zongxin YANG; the National Natural Science Foundation of China(No.11261022)。; In this paper, the authors introduce a definition of the Schwarzian derivative of any locally univalent harmonic mapping defined on a simply connected domain in the complex plane. Using the new definition, the authors...; 关键词：Schwarzian DERIVATIVE Schwarzian NORM HARMONIC MAPPING

Fekete and Szeg problem in one and higher dimensions被引量：4: 《Science China Mathematics》2018年第10期1775-1788,共14页Qinghua Xu Taishun Liu Xiaosong Liu; supported by National Natural Science Foundation of China(Grant Nos.11561030,11261022 and 11471111);the Jiangxi Provincial Natural Science Foundation of China(Grant Nos.20152ACB20002 and 20161BAB201019);Natural Science Foundation of Department of Education of Jiangxi Province of China(Grant No.GJJ150301); In this paper, we establish the Fekete and Szego inequality for a class of holomorphic functions in the unit disk, and then we extend this result to a class of holomorphic mappings on the unit ball in a complex Banach...; 关键词：Fekete and Szego problem Bieberbach conjectures in several complex variables subclasses ofstarlike mappings sharp coefficient bound

On the Coefficient Inequality for A Subclass of Starlike Mappings in Several Complex Variables: 《Chinese Quarterly Journal of Mathematics》2018年第1期98-110,共13页GUO Sheng-ti XU Qing-hua; This work was supported by NNSF of China（Grant Nos. 11561030, 11261022）, the Jiangxi Provincial Natural Science Foundation of China （Grant Nos. 20152ACB20002, 20161BAB201019）, Natural Science Foundation of Department of Education of Jiangxi Province, China （Grant No. GJJ150301）, and the Jiangxi Provincial graduate student innovation project （Grant No. YC2016-S159）; Let S~* be the familiar class of normalized univalent functions in the unit disk.In [9], Keogh and Merkes proved that for a function f(z) = z +∑k=2∞ a_kz^k in the class S~*,then |a_3-λa_2~2| ≤ max{1, |3-4λ|}, λ...; 关键词：Fekete-Szego problem Subclass of starlike mappings Sharp coefficient bound

FEKETE AND SZEG INEQUALITY FOR A SUBCLASS OF STARLIKE MAPPINGS OF ORDER αON THE BOUNDED STARLIKE CIRCULAR DOMAIN IN C^n被引量：1: 《Acta Mathematica Scientia》2017年第3期722-731,共10页刘太顺徐庆华; supported by NNSF of China(11471111,11561030 and 11261022);the Jiangxi Provincial Natural Science Foundation of China(20152ACB20002,20161BAB201019);Natural Science Foundation of Department of Education of Jiangxi Province,China(GJJ150301); In this article, first, we establish the Fekete and Szego inequality for an interesting subclass of biholomorphic functions in the open unit disk U. Second, we generalize this result to the bounded starlike circular d...; 关键词：Fekete-Szego problem starlike mappings of order α bounded starlike circulardomain

平面区域的对数导数单叶性内径被引量：1: 《中山大学学报（自然科学版）》2017年第2期53-56,共4页刘浔冰刘雅萍杨宗信; 国家自然科学基金(11261022); 研究了对数导数意义下平面区域的单叶性内径,讨论了对数导数意义下单叶性内径的相关性质,得到了角域的对数导数单叶性内径的上界估计。; 关键词：对数导数单叶性内径万有TEICHMÜLLER空间

On the Fekete and Szego Problem for Starlike Mappings of Order α被引量：3: 《Acta Mathematica Sinica,English Series》2017年第4期554-564,共11页Qing Hua XU Fang FANG Tai Shun LIU; Supported by NNSF of China(Grant Nos.11561030,11471111 and 11261022);the Jiangxi Provincial Natural Science Foundation of China(Grant Nos.20152ACB20002 and 20161BAB201019);Natural Science Foundation of Department of Education of Jiangxi Province,China(Grant No.GJJ150301); Let Sα*be the familiar class of normalized starlike functions of order α in the unit disk. In this paper, we establish the Fekete and Szeg? inequality for the class Sα*, and then we generalize this result to the un...; 关键词：Fekete–Szego problem starlike mappings of order α sharp coefficient bound

一类准凸映照族的偏差定理及de la Vallée Poussin均值: 《中国科学：数学》2016年第11期1691-1702,共12页徐庆华刘太顺; 国家自然科学基金(批准号:11561030,11471111和11261022);江西省自然科学基金(批准号:20152ACB20002)资助项目; 本文建立了一类准凸映照族的Fréchet导数型和行列式型偏差定理.同时,本文将单位圆盘上凸函数的de la Vallée Poussin均值性质推广到高维空间,所得结果是单复变中的经典结论在多复变中的拓广.; 关键词：D型准凸映照族偏差定理 DE LA Vallee Poussin均值

多复变Fekete-Szeg问题被引量：1: 《数学学报（中文版）》2016年第3期303-308,共6页徐庆华张宇芳刘太顺; 国家自然科学基金资助项目(11261022,11471111);江西省自然科学重大基金(20152ACB2002); 令y为单位圆盘上正规化单叶函数族.Fekete和Szeg证明了如下的著名结果:对λ∈[0,1],成立max_(f∈y)|a_3-λa_2~2|=1+2^(-(2λ)/(1-λ)).本文研究了C^n中有界星形圆形域上的星形映照的相应问题.定理的证明有假设条件,但该条件在单复变...; 关键词：Fekete-Szego问题星形映照有界星形圆形域

Fekete and Szego problem for a subclass of quasi-convex mappings in several complex variables被引量：6: 《Frontiers of Mathematics in China》2015年第6期1461-1472,共12页Qinghua XU Ting YANG Taishun LIU Huiming XU; Acknowledgements This work was supported by the National Natural Science Foundation of China （Grant Nos. 11561030, 11471111, 11261022）, the Jiangxi Provincial Natural Science Foundation （Grant No. 20152ACB20002）, the Natural Science Foundation of Department of Education of Jiangxi Province （Grant No. G J J12177）, and the Zhejiang Provincial Natural Science Foundation （Grant No. Y6110053）.; Let K be the familiar class of normalized convex functions in the unit disk. Keogh and Merkes proved the well-known result that maxf∈A ｜a3 - λa22｜ ≤ max{1/3, ｜λ - 1}, ,λ ∈ C, and the estimate is sharp for ea...; 关键词：Fekete-Szego problem quasi-convex mappings of type A quasi-convex mappings of type B quasi-convex mappings of type C

调和映射的两点偏差性质: 《江西科学》2015年第2期148-150,172,共4页黄翠辜承亮; 国家自然科学基金(11261022); 根据共形度量定义的Schwarz导数和Ahlfors关于曲线的Schwarz导数的定义,结合新的共形因子λ（z）=√｜h＇（z）｜^2＋｜g＇（z）｜^2）来讨论调和映射f的Weierstrass-Enneper提升f~的单叶性条件和f~在单位圆内的两点偏差定理的定量形式。; 关键词：调和映射 SCHWARZ导数单叶偏差

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