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A UNIFIED CLASS OF Analytic functions WITH FIXED ARGUMENT OF COEFFICIENTS

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Acta Mathematica Scientia 2011年第4期31卷 1357-1366页

作者： J. Dziok Institute of Mathematics University of Rzeszów ul.

In this paper we introduce new classes of Analytic functions with fixed argument of coefficients defined by subordination. Coefficient estimates, distortion theorems, integral means inequalities, and the radii of conv... 详细信息

关键词： Analytic functions fixed argument subordination Hadamard product

Error Bound for the Generalized Complementarity Problem with Analytic functions

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International Journal of Automation and computing 2012年第3期9卷 288-291页

作者： Hong-Chun Sun School of Sciences, Linyi University, Linyi 276005, PRC School of Sciences Linyi University Linyi PRC

In this paper, we consider the global error bound for the generalized complementarity problem (GCP) with Analytic functions. Based on the new technique, we establish computable global error bound under milder conditio... 详细信息

关键词： Generalized complementarity problem (GCP) error bound Analytic functions R0-function Lipschitz continuity.

A NOTE ON VECTOR VALUED Analytic functions

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Applied Mathematics(A Journal of Chinese Universities) 1994年第3期9卷 315-318页

作者： Zhang Haitao (1) 1. Department of Mathematics Zhejiang University 310027 Hangzhou

Analytic functions with range included in a Banach subspace are studied and a sufficient condition for analyticity in the subspace is given.

关键词： Analytic functions Banach subspaces.

Properties for Certain Subclass of Analytic functions Involving Carlson-Shaffer Operators

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Chinese Quarterly Journal of Mathematics 2011年第2期26卷 245-250页

作者： LI Zong-tao LIU Ming-sheng Foundation Department Guangzhou Civil Aviation College Guangzhou 510401 China School of Mathematical Sciences South China Normal University Guangzhou 510631 China

Let Hn(p)be the class of functions of the form f(z)=z p+ +∞Σ k=n akzk+p,which are analytic in the open unit disk U={z:|z|<1}.In the paper,we introduce a new subclass Bn(μ,a,c,α,p;φ)of Hn(p)and investigate its subordination relations,inclusion relations and distortion theorems.The results obtained include the related results of some authors as their special case.

关键词： Analytic functions subordination hadamard product integral operators Carlson-Shaffer operators

Majorization Properties for Certain Classes of Analytic functions Involving a Generalized Diferential Operator

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Journal of Mathematical Research with Applications 2013年第5期33卷 578-586页

作者： Huo TANG Guantie DENG Shuhai LI School of Mathematical Sciences Beijing Normal University School of Mathematics and Statistics Chifeng University

In this paper,we introduce new subclasses Sm,j,l p,q,λ [A,B;γ] and Hm,j,l p,q,λ(α,β) of certain p-valent Analytic functions defined by a generalized diferential operator.Majorization properties for functions belonging to the classes Sm,j,l p,q,λ [A,B;γ] and Hm,j,l p,q,λ(α,β) are investigated.Also,we point out some new or known consequences of our main results.

关键词： Analytic functions starlike functions β-spiral functions subordination majorization property diferential operator.

Inclusion Relationships for p-Valent Analytic functions Involving the Dziok-Srivastava Operator

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Journal of Mathematical Research with Applications 2014年第6期34卷 696-702页

作者： Huo TANG Guantie DENG School of Mathematics and Statistics Chifeng University School of Mathematical Sciences Beijing Normal University

In this paper, we use the methods of differential subordination and the properties of convolution to investigate the class Wp(H(ai, bj); φ) of multivalent Analytic functions, which is defined by the Dziok-Srivastava ... 详细信息

关键词： Analytic functions subordination Hadmard product(or convolution) DziokSrivastava operator

Some Properties for New Subclass of Analytic functions

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Chinese Quarterly Journal of Mathematics 2013年第2期28卷 261-268页

作者： TANG Huo LI Shu-hai DENG Guan-tie MA Li-na School of Mathematical Sciences Beijing Normal University Beijing 100875 China Departmentof Mathematics and Statistics Chifeng College Chifeng 024001 China

A new subclass A(β1 , β2 , ··· , βk ; λ) of Analytic functions f(z) in the open unit disk U is introduced and studied. We provide coefficient inequalities, distortion theorems, extreme points and radius of clos... 详细信息

关键词： Analytic functions coefficient inequalities distortion inequalities extreme points radius

Prop erties for Certain Sub classes of Analytic functions Asso ciated with Generalized Multiplier Transformation

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Chinese Quarterly Journal of Mathematics 2014年第2期29卷 257-264页

作者： LI Zong-tao GUO Dong Foundation Department Guangzhou Civil Aviation College Guangzhou 510403 China Founda-tion Department Chuzhou Vocational and Technical College Chuzhou 239000 China

In this paper, we introduce certain new subclasses of Analytic functions defined by generalized multiplier transformation. By using the differential subordination, we study and investigate various inclusion properties... 详细信息

关键词： Analytic functions subordination convolution multiplier transformation inclusion properties

Coefficient Estimates for the Subclasses of Analytic functions and Bi-Univalent functions Associated with the Strip Domain

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Journal of Mathematical Research with Applications 2017年第5期37卷 550-562页

作者： Shuhai LI Huo TANG Li-na MA Xiaomeng NIU School of Mathematics and Statistics Chifeng University

The Salagean operator is used here to introduce a new subclass of Analytic functions associated with the strip domain. We obtain the bounds of coefficients and Fekete-szego inequality for functions in this class and coefficient estimates of bi-univalent functions for certain subclasses of this class. The results presented here extend some of the earlier results.

关键词： Analytic functions strip domain Salagean operator subordination