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On a subclass of bi-univalent functions defined by convex combination of order α with the Faber polynomial expansion

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Applied Mathematics(A Journal of Chinese Universities) 2021年第2期36卷 278-286页

作者： Wurenqiqige LI Shu-hai Tsedenbayar Dashdondog Normal College Chifeng UniversityChifeng 024000China Department of Mathematics Mongolian National University of EducationUlaanbatar 210646Mon-golia Department of Applied Mathematics Mongolian University of Science and TechnologyUlaanbaatar 210646Mongolia

In this paper,we define new subclasses of bi-univalent functions involving a differ-ential operator in the open unit disc△={z:z∈C and|z|<1}:Moreover,we use the Faber polynomial expansion to obtain the bounds of the ... 详细信息

In this paper,we define new subclasses of bi-univalent functions involving a differ-ential operator in the open unit disc△={z:z∈C and|z|functions belong to the subclasses.

关键词： bi-univalent functions convex combination Faber polynomial expansion coefficient bounds su bordination combination of orderα

Second Hankel Determinants and Fekete-Szegö Inequalities for Some Sub-Classes of bi-univalent functions with Respect to Symmetric and Conjugate Points Related to a Shell Shaped Region

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Analysis in Theory and Applications 2018年第4期34卷 358-373页

作者： Rayaprolu Bharavi Sharma Kalikota Rajya Laxmi Department of Mathematics Kakatiya UniversityWarangalTelangana State India 506009 SR International Institute of Technology HyderabadTelangana StateIndia501301

In this paper, we have investigated second Hankel determinants and FeketeSzeg? inequalities for some subclasses of bi-univalent functions with respect to symmetric and Conjugate points which are subordinate to a shell... 详细信息

关键词： Analytic functions univalent functions bi-univalent functions second Hankel determinants Fekete-Szeg?inequalities symmetric points conjugate points

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

Coefficient Bounds for a New Subclass of bi-univalent functions Defined by Salagean Operator

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Journal of Mathematical Research with Applications 2017年第3期37卷 290-298页

作者： Fan CHEN Xiaofei LI College of Engineering and Technology Yangtze University School of Information and Mathematics Yangtze University Department of Mathematics University of Macau

In this paper, a new subclass N;（m, λ, μ） of analytic and bi-univalent functions in the open unit disk U is defined by salagean operator. We obtain coefficients bounds |a;| and |a;| for functions of the class. Moreover, we verify Brannan and Clunie’s conjecture |a;| ≤2;for some of our classes. The results in this paper extend many results recently researched by many authors.

关键词： analytic functions univalent functions bi-univalent functions coefficient bounds Salagean operator

Faber Polynomial Coefficient Estimates on a Subclass of bi-univalent functions

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Journal of Mathematical Research with Applications 2018年第5期38卷 465-470页

作者： Xiaoyuan WANG Zhiren WANG Li YIN College of Science Yanshan University Department of Mathematics Binzhou University

The main objective of this paper is to derive the upper bounds for the coefficients of functions in a subclass of analytic and bi-univalent functions associated with Faber *** consequences presented here point out and... 详细信息

关键词： analytic functions univalent functions bi-univalent functions Faber polynomials

Coefficient Estimates for Certain Subclasses of bi-univalent Ma-Minda Mocanu-Convex functions

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Analysis in Theory and Applications 2014年第2期30卷 141-150页

作者： C.Selvaraj O.S.Babu G.Murugusundaramoorthy Department of Mathematics Presidency College (Autonomous) Department of Mathematics Dr. Ambedkar Govt. Arts College School of Advanced Sciences VIT University

In this paper, we introduce and investigate a new subclass of the function class ∑. of bi-univalent functions of the Mocanu-convex type defined in the open unit disk, satisfy Ma and Minda subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients ｜a2｜ and ｜a3｜ for functions in the new subclass introduced here. Further Application of Hohlov operator to this class is obtained. Several （known or new） consequences of the results are also pointed out.

关键词： Analytic functions univalent functions bi-univalent functions bi-starlike functions,bi-convex functions bi-Mocanu-convex functions subordination Hohlov operator.

A Certain Subclass of Analytic functions with Bounded Positive Real Part

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Advances in Pure Mathematics 2013年第4期3卷 409-414页

作者： Young Jae Sim Oh Sang Kwon Department of Mathematics Kyungsung UniversityBusanSouth Korea

For real numbers α and β such that 0≤α<1<β, we denote by T(α,β) the class of normalized analytic functions which satisfy , where U denotes the open unit disk. We find some relationships involving functions in t... 详细信息

For real numbers α and β such that 0≤αfunctions which satisfy , where U denotes the open unit disk. We find some relationships involving functions in the class T(α,β). And we estimate the bounds of coefficients and solve Fekete-Szego problem for functions in this class. Furthermore, we investigate the bounds of initial coefficients of inverse functions or bi-univalent functions.

关键词： functions of Bounded Positive Real Part Fekete-Szego Problem Inverse functions bi-univalent functions

Majorization Results and Coefficients Bounds for a Class of univalent functions Associated with Operator

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Chinese Quarterly Journal of Mathematics 2017年第2期32卷 142-151页

作者： XIONG Liang-peng School of Mathematics and Statistics Wuhan University Wuhan 430072 China Engineering andTechnical College Chengdu University of Technology Leshan 614007 China

In this paper we introduce a new general subclass n,G∑ a,λ(A, B, α) of univalent functions related the known integral operator and differential operator. Some majorization results for n,G∑ a,λ(A, B, 1) as well as the other functions are given. Furthermore, we find the coefficients bounds on |a_2| and |a_3| for functions in*n,G∑ a,λ(A_1, B_1, A_2, B_2, α_1, α_2), which is the bi-univalent functions defined by n,G ∑a,λ(A, B, α) and subordination. By giving specific values of the parameters of our main results, several(known or new) consequences of main results are also discussed.

关键词： analytic functions integral operator majorization subordination bi-univalent functions