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Third Hankel Determinant for the Inverse of starlike and Convex Functions

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Communications in Mathematical Research 2019年第4期35卷 354-358页

作者： Guo Dong Ao En Tang Huo Xiong Liang-peng Ji You-qing Foundation Department Chuzhou Vocational and Technical CollegeChuzhouAnhui239000 School of Mathematics and Statistics Chifeng UniversityChifengInner Mongolia024000 School of Mathematics and Statistics Wuhan UniversityWuhan430072 不详

Denote S to be the class of functions which are analytic,normalized and univalent in the open unit disk U={z:|z|<1}.The important subclasses of S are the class of starlike and convex functions,which we denote by S and... 详细信息

Denote S to be the class of functions which are analytic,normalized and univalent in the open unit disk U={z:|z|starlike and convex functions,which we denote by S and C.In this paper,we obtain the third Hankel determinant for the inverse of functions f(z)=z+∞Σn=2 anz^n belonging to S^*and C.

关键词： analytic function third Hankel determinant inverse of starlike function inverse of convex function

On the Coefficients for ε-starlike Mappings in Cn

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Chinese Quarterly Journal of Mathematics 2015年第3期30卷 416-419页

作者：闫春燕孙林坡安曼 Department of Information Engineering Xuchang Vocational and Technical College Foundation Department Henan Quality Polytechnic School of Mathematics and System Sciences Beihang University

In this paper, we study ε-starlike mappings on the unit ball in Cn, the upper bounds of coefficients of kth item of homogeneous expansion for ε-starlike mappings are obtained.

关键词： starlike mappings convex mappings ε-starlike mappings

Fekete-Szego Estimate for a Class of starlike Functions Involving Certain Analytic Multiplier Transform

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Journal of Applied Mathematics and Physics 2020年第3期8卷 519-526页

作者： Deborah Olufunmialyo Makinde A.S.Oyekunle T.O.Opoola Department of Mathematics Obafemi Awolowo UniversityIle-IfeNigeria Department of Mathematics University of IlorinIlorinNigeria

In this paper, we investigated the coefficient estimates and the Fekete-Szegö?problem for the subclass of analytic univalent functions involving the linear transformation Dsα,β,γf for the normalized analytic functi... 详细信息

关键词： Analytic Univalent starlike Linear Transformation Coefficient Estimates Fekete-Szego Inequality

New Result for Strongly starlike Functions

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Applied Mathematics 2017年第3期8卷 324-328页

作者： R. O. Ayinla T. O. Opoola Department of Statistics and Mathematical Sciences Kwara State University Malete Nigeria Department of Mathematics University of Ilorin Ilorin Nigeria

In this paper, using Salagean differential operator, we define and investigate a new subclass of univalent functions . We also establish a characterization property for functions belonging to the class .

关键词： Strongly starlike Functions Strongly Convex Functions Salagean Differential Operator

A New Look for starlike Logharmonic Mappings

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Applied Mathematics 2014年第7期5卷 1053-1060页

作者： Zayid Abdulhadi Department of Mathematics American University of Sharjah Sharjah UAE

A function f(z) defined on the unit disc U is said to be logharmonic if it is the solution of the nonlinear elliptic partial differential equation where such that . These mappings admit a global representation of the form where In this paper,we shall consider the logharmonic mappings , where is starlike. Distortion theorem and radius of starlikess are obtained. Moreover, we use star functions to determine the integral means for these mappings. An upper bound for the arclength is included.

关键词： A New Look for starlike Logharmonic Mappings

THE GROWTH AND 1/4-THEOREMS FOR starlike MAPS IN THE BANACH SPACE

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Chinese Science Bulletin 1992年第13期37卷 1062-1064页

作者：张文俊董道珍 Department of Mathematics Henan University Kaifeng 475001 PRC

Our purpose in this note is to present the growth and 1/4-theorems for starlike maps on the unit ball B in an arbitrary Banach space, which are the complement and improvement of [1—3], and are the best possible for a... 详细信息

关键词： growth theorem 1/4-theorem starlike maps

THE GROWTH AND 1/4-THEOREMS FOR starlike MAPPINGS IN C^n

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Chinese Science Bulletin 1990年第5期35卷 357-359页

作者： CARL H. FITZ GERALD 龚昇 ROGER W. BARNARD Department of Mathematics University of California San Diego La Jolla CA 92093 USA University of Science and Technology of China Hefei 230026 PRC Department of Mathematics Texas Tech. University Lubbock Texas 79409 USA

ⅠMore than fifty years ago, Henri Cartant ~j suggested that geometric function theory ofone complex variable should be extended to biholomorphic mappings of several complexvariables. In particular, he cited the special classes of starlike and convex mappings asappropriate topics for generalization. In noting some of the difficulties of generalization, hepointed out the Growth Theorem as one of the results that would not extend to thepolydisc (nor to the ball). Also, he observed that for normalized biholomorphic

关键词： starlike mapping convex mapping Koebe 1/4-Theorem.

A NECESSARY AND SUFFICIENT CONDITION:BIHOLOMORPHIC MAPPINGS ARE starlike ON A CLASS OF REINHARDT DOMAINS

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Chinese Science Bulletin 1991年第14期36卷 1151-1153页

作者：龚昇王世坤余其煌 University of Science and Technology of China Hefei 230026 PRC Institute of Applied Mathematics Academia Sinica Beijing 100080 PRC

1. In [1], T. J. Suffridge gave the necessary and sufficient condition for local biholomorphic mappings on the Reinhardt domains , to be starlike. Using this condition Yu Qihuang et al. gave the growth theorem and covering theorem for normalized biholomorphic starlike mappings in D_p. In this note we give a necessary and suffident condition for local biholomorphic mappings on more general Reinhardt

关键词： biholomorphic mapping starlike mapping Reinhardt domains.

AN IMPROVEMENT ON ESTIMATE OF d_0/d~* FOR starlike FUNCTIONS

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Systems Science and Mathematical Sciences 1989年第4期2卷 329-336页

作者：陈跃庆 Huaqiao University QuanzhouChina

Let S* be the class of starlike functions in unit disc.For f∈S*,denote its radiusof convexity by r0 and let d0=（?）|f（z）|,d*=inf{|β||f（z）≠β,|z|0/d*≥0.45,thus improving the result of d0/d*≥0.38 by McCarty,C.... 详细信息

关键词： starlike function radius of convexity 2/3 conjecture