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Some Results for a Family of Harmonic Univalent Functions

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Journal of Mathematical Research with Applications 2022年第5期42卷 499-510页

作者： liangpeng xiong Yaqian WANG School of Mathematics and Computer Science Jiangxi Science and Technology Normal University

In this paper, we introduce a class of the univalent sense-preserving harmonic functions associated with Ruscheweyh derivatives. By establishing the extremal theory, we obtain the sharp coefficients bounds, sharp growth theorems and sharp distortion theorems for the *** radius equation between this class and a known class of harmonic functions is given. Also,we investigate the results of modified-Hadamard product for this class.

关键词： extreme points growth theorem harmonic functions modified-Hadamard product Ruscheweyh derivatives

Coefficient Estimates for Several Classes of Meromorphically Bi-Univalent Functions

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Journal of Mathematical Research with Applications 2018年第6期38卷 597-608页

作者： Dong GUO Zongtao LI liangpeng xiong Foundation Department Chuzhou Vocational and Technical College Foundation Department Guangzhou Civil Aviation College School of Mathematics and Statistics Wuhan University

In this paper, we investigate the bounds of the coefficients of several classes of meromorphic bi-univalent functions. The results presented in this paper improve or generalize the recent works of other authors.

关键词： analytic functions univalent functions meromorphic functions coefficient estimates bi-univalent function meromorphically bi-univalent functions

Initial Bounds for a Subclass of Analytic and Bi-Univalent Functions Defined by Chebyshev Polynomials and q-Differential Operator

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Journal of Mathematical Research with Applications 2019年第5期39卷 506-516页

作者： Dong GUO En AO Huo TANG liangpeng xiong Foundation Department Chuzhou Vocational and Technical College School of Mathematics and Statistics Chifeng University School of Mathematics and Statistics Wuhan University

In this paper, we investigate the coefficient estimate and Fekete-Szeg? inequality of a subclass of analytic and bi-univalent functions defined by Chebyshev polynomials and qdifferential operator. The results presente... 详细信息

关键词： analytic functions bi-univalent functions coefficient estimates Fekete-Szeg? inequality Chebyshev polynomials q-differential operator

Estimate and Fekete-Szeg? Inequality for a Class of m-Fold Symmetric Bi-Univalent Function Defined by Subordination

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Journal of Mathematical Research with Applications 2019年第3期39卷 295-303页

作者： Dong GUO Huo TANG En AO liangpeng xiong Foundation Department Chuzhou Vocational and Technical College School of Mathematics and Statistics Chifeng University School of Mathematics and Statistics Wuhan University

In this paper, we investigate the coefficient estimate and Fekete-Szeg? inequality of a class of m-fold bi-univalent function defined by subordination. The results presented in this paper improve or generalize the rec... 详细信息

关键词： analytic functions univalent functions coefficient estimates m-fold symmetric bi-univalent function Fekete-Szeg? inequality subordination

DISTORTION THEOREMS FOR CLASSES OF g-PARAMETRIC STARLIKE MAPPINGS OF REAL ORDER IN C^(n)

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Acta Mathematica Scientia 2023年第4期43卷 1491-1502页

作者：刘红炎涂振汉熊良鹏 School of Mathematics and Statistics Wuhan UniversityWuhan 430072China School of Mathematics and Computer Science Jiangxi Science and Technology Normal UniversityNanchang 330038China

In this paper,we define the class S_(g)^(BX)of g-parametric starlike mappings of real order γ on the unit ball BX in a complex Banach space X,where g is analytic and satisfies certain *** establishing the distortion theorem of the Fr´echet-derivative type of S_(g)^(BX)with a weak restrictive condition,we further obtain the distortion results of the Jacobi-determinant type and the Fr´echet-derivative type for the corresponding classes(compared with S_(g)^(BX))defined on the unit polydisc(*** ball with the arbitrary norm)in the space of n-dimensional complex variables,n≥*** results extend the classic distortion theorem of holomorphic functions from the case in one-dimensional complex space to the case in the higher dimensional complex *** main theorems also generalize and improve some recent works.

关键词： Banach space distortion theorem of Jacobi-determinant type distortion theorems of the Frechet-derivative type g-parametric starlike mappings

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一类新的近于凸函数的子集

湖北大学学报（自然科学版） 2010年第1期32卷 13-17,31页

作者：熊良鹏湖北大学数学与计算机科学学院湖北武汉430062

设P[A,B]={P(z):P(0)=1,P(z)在单位开圆盘E内解析且满足P(z)<(1+Az)/(1+Bz),-1≤B 详细信息

设P[A,B]={P(z):P(0)=1,P(z)在单位开圆盘E内解析且满足P(z)<(1+Az)/(1+Bz),-1≤B

关键词：单叶星形凸半径近于凸

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从属解析函数族的有限阶哈达玛乘积

数学物理学报（A辑） 2014年第1期34卷 150-156页

作者：熊良鹏刘晓丽成都理工大学工程技术学院四川乐山614007

设P[A,B]={f(z):f(z)(?)(1+Az)/(1-Bz),A+B≠0,|B|≤1,f(z)在单位开圆盘内解析}.定义函数族H_1,H_2,…,H_n的有限阶哈达玛乘积为H_1*H_2*H_3…*H_n(z)={f_1*f_2*f_3*…f_n(z):f_i∈H_i,i=1,2,…,n,n∈Z^+}.讨论并得到了P(A_1,B_1)*P(A_2... 详细信息

关键词：解析函数从属哈达玛乘积充要条件

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一类受限于从属关系的解析函数族

华中师范大学学报（自然科学版） 2012年第5期46卷 522-523,527页

作者：熊良鹏刘晓丽成都理工大学工程技术学院四川乐山614000

主要借用从属关系定义和引入了在单位圆盘Δ={z:|z|<1}内解析的一类函数族Mδ[A,B],讨论了包含于该族的一些充分条件,而且给出了Mδ[A,B]当δ=1时的特定子族M1[A,B]的部分系数估计情况.

关键词：解析函数从属系数估计

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扩充非线性积分算子的一些结果

华中师范大学学报（自然科学版） 2016年第1期50卷 24-27页

作者：马致远熊良鹏成都理工大学工程技术学院四川乐山614007

定义了一般化解析函数族非线性积分算子F_(β_1,β_2,a,b)^(γ,α_1,α_2)(p1,p2)(z),其中,p1(z)和p2(z)为单位开圆盘内解析函数.研究给出当p1(z)和p2(z)从属于分式线性变换时对应积分算子的单叶性充分条件及λ(0≤λ≤1)阶凸性半径.进... 详细信息

定义了一般化解析函数族非线性积分算子F_(β_1,β_2,a,b)^(γ,α_1,α_2)(p1,p2)(z),其中,p1(z)和p2(z)为单位开圆盘内解析函数.研究给出当p1(z)和p2(z)从属于分式线性变换时对应积分算子的单叶性充分条件及λ(0≤λ≤1)阶凸性半径.进一步,通过赋值特殊的函数,列举一些扩展的应用结果.

关键词：单叶函数凸函数积分算子从属