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Journal of Mathematical Research with Applications 2021年第5期41卷 454-460页

作者： Dong GUO Huo TANG En AO Zongtao LI Foundation Department Chuzhou Vocational and Technical College School of Mathematics and Statistics Chifeng University Mathematics Teaching Department Guangzhou Civil Aviation College

In this paper, we estimate the Fekete-Szeg? functional with k-th root transform for the inverse of certain classes of analytic univalent functions using quasi-subordination.

关键词： univalent functions Fekete-Szeg? inequality k-th root transformation inverse quasi-subordination

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

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

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

On univalent functions in Multiply Connected Domains

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Journal of Beijing Institute of Technology 1994年第2期3卷 99-113页

作者：杨维奇北京理工大学应用数学系

The present article is an account of results on univalent functions in multiply connected domains obtained by the author. It contains two rery simple proofs of Villat's formula; Schwarz's formula, Poisson's formula and Poisson-Jensen formula in multiply connected domains; the differentiability theorem with respect to the parameter of analytic function family containing one parametric variable on multiply connected domains; variation theorem and parametric representation theorem of univalent functions in multiply connected domains; the solution of an extremal problem of differentiable functionals.

关键词： univalent functions integral representation variational methods/multiply connected domains parametric representation method extremal problem

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.

Area Estimates of Images of Disks under Analytic functions

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Acta Mathematica Sinica,English Series 2021年第10期37卷 1533-1548页

作者： Vibhuti ARORA Swadesh Kumar SAHOO Discipline of Mathematics Indian Institute of Technology IndoreIndore 453552India

Let D_(r):={z=x+iy∈C:|z|0,in principal powers,when f ranges over certain classes of analytic and univalent functions in D.

Let D_(r):={z=x+iy∈C:|z|functions of the form(z/f)^(μ),μ>0,in principal powers,when f ranges over certain classes of analytic and univalent functions in D.

关键词： univalent functions starlike functions convex functions spirallike functions Dirichlet finite area problem

Some Radius Problems Related to a Certain Subclass of Analytic functions

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Acta Mathematica Sinica,English Series 2014年第7期30卷 1133-1144页

作者： Oh Sang KWON Young Jae SIM Nak Eun CHO H.M.SRIVASTAVA Department of Mathematics Kyungsung University Department of Applied Mathematics Pukyung National University Department of Mathematics and Statistics University of Victoria

For real parameters αand β such that 0≤α 〈 1 〈β, we denote by S（α,β） the class of normalized analytic functions which satisfy the following two-sided inequality：where U denotes the open unit disk. We find a sufficient condition for functions to be in the class S（α,β） and solve several radius problems related to other well-known function classes.

关键词： Analytic functions univalent functions starlike functions functions of bounded real pos-itive real part radius problems

DIFFERENTIAL SUBORDINATIONS AND α-CONVEX functions

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Acta Mathematica Scientia 2013年第3期33卷 609-620页

作者： Jacek DZIOK Ravinder Krishna RAINA Janusz SOKóL Department of Mathematics Institute of Mathematics University of Rzeszówul. Rejtana 16A 35-310 Rzeszów Poland M.P. University of Agriculture and Technology Department of Mathematics Rzeszów University of TechnologyAl. Powstańców Warszawy 12 35-959 Rzeszów Poland

This article presents some new results on the class SLMα of functions that are analytic in the open unit disc U = {z ：｜z｜〈 1} satisfying the conditions that f（0） =0, f＇（0）= 1, and α（1＋zf＇＇（z）/f＇（z）＋（1-α）zf＇（z）/f（z）∈p（U）for all z ∈ U, where αis a real number and p（z）=1＋r^2z^2/1-Tz-T^2z^2（z∈ U）. The number T = （1 -√5）/2 is such that T^2 = 1 ＋ T. The class SFLMa introduced by J. Dziok, R.K. Raina, and J. Sokot [3, Appl. Math. Comput. 218 （2011）, 996-1002] is closely related to the classes of starlike and convex functions. The article deals with several ideas and techniques used in geometric function theory and differential subordinations theory.

关键词： univalent functions starlike functions subordination Fibonacci numbers trisectrix of Maclaurin conchoid of de Sluze