CLOSE-TO-CONVEX

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Some Properties for a New Generalized Subclass of Close-to-Convex Harmonic Functions
《Journal of Mathematical Research with Applications》2024年第6期769-781,共13页Shuhai LI Li-na MA Huo TANG En AO 
Supported by the Natural Science Foundation of Inner Mongolia(Grant Nos.2024MS01014,2022MS01004);the Higher-School Science Foundation of Inner Mongolia(Grant No.NJZZ19209)。
In this paper,a new subclass of close-to-convex harmonic functions defined by differential operators is introduced.Some properties for functions belonging to that,such as,representation theorem,sufficient conditions,i...
关键词：close-to-convex harmonic function inclusion relation coefficient estimate sufficient condition differential operator 
Properties and Characteristics of Certain Subclass of Close-to-Convex Harmonic Mappings
《Journal of Mathematical Research with Applications》2024年第5期648-658,共11页Jiong SHI Zhigang WANG Xiaoyuan WANG 
Supported by the Natural Science Foundation of Hunan Province(Grant No.2022JJ30185);the Postgraduate Research and Practice Innovation Program of Jiangsu Province(Grant No.KYCX230410);the China Scholarship Council(Grant No.202306840137);the National Natural Science Foundation of China(Grant No.62063029);the Science and Technology Support Project of Pingxiang City(Grant No.2020C0102)。
In this paper,we study a subclass of close-to-convex harmonic mappings whose analytic parts are starlike mappings.We derive some properties and characteristics for this class,such as the bounds of Toeplitz determinant...
关键词：univalent harmonic mapping close-to-convex harmonic mapping Bohr radius Toeplitz determinant Hankel determinant 
Some Inequalities on <i>p</i>-Valent Functions Related to Geometric Structure Based on <i>q</i>-Derivative
《Journal of Applied Mathematics and Physics》2020年第2期301-306,共6页Shahram Najafzadeh Deborah Olufunmilayo Makinde 
By applying the q-derivative, we introduce two new subclasses of p-valent functions with positive coefficients. By means of the well-known Jack’s lemma, some inequalities related to starlike, convex and close-to-conv...
关键词：P-VALENT FUNCTIONS Jack’s Lemma STARLIKE Convex and CLOSE-TO-CONVEX FUNCTIONS 
Sharp distortion theorems for a subclass of close-to-convex mappings
《Frontiers of Mathematics in China》2013年第6期1425-1436,共12页Qinghua XU Taishun LIU Xiaosong LIU 
We introduce the class of strongly close-to-convex mappings of order c~ in the unit ball of a complex Banach space, and then, we give the sharp distortion theorems for this class of mappings in the unit ball of a comp...
关键词：Distortion theorem growth theorem strongly close-to-convexmappings of order α 
On Sufficient Conditions for p-valently Close-to-convexity
《Chinese Quarterly Journal of Mathematics》2003年第3期271-275,共5页XU Neng (Department of Mathematics, Changshu College, Changshu 215500, China) 
Let A p(n)(p, n∈N=｛1,2,…｝) denote the class of functions of the form f(z)=z p+a p+n z p+n +… which are analytic in the unit disc E=｛z:｜z｜<1｝. By using the method of differential subordinati ons we give some s...
关键词：analytic functions p-valently close-to-convex ity functions SUBORDINATION 
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