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Subordination and Superordination Properties for a Class of Integral Operators 被引量:1
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作者 Nak Eun CHO Teodor BULBOACA 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第3期515-522,共8页
In the present paper, we obtain some subordination- and superordinatiompreserving properties of certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type... In the present paper, we obtain some subordination- and superordinatiompreserving properties of certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorems for these integral operators are also considered. 展开更多
关键词 differential subordination differential superordination univalent functions convex functions integral operators
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一类包含广义Mittag-Leffler函数的积分算子的从属与超从属结果
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作者 王小元 刘亚娟 《Chinese Quarterly Journal of Mathematics》 2023年第4期379-391,共13页
In the paper,by making use of the principle of subordination between analytic functions with the multiplier transforms defined by generalized Mittag-Leffler function,the authors investigate subclasses of univalent ana... In the paper,by making use of the principle of subordination between analytic functions with the multiplier transforms defined by generalized Mittag-Leffler function,the authors investigate subclasses of univalent analytic functions,such as starlike functions,convex functions,close-to-convex functions and quasiconvex functions.Several inclusion relationships,inequality properties,subordination and superordination results associated with the multiplier transforms are proved and the sandwich-type results are also obtained. 展开更多
关键词 Analytic functions Mittag-Leffler function Differential subordination and differential superordination Hadamard product(or Convolution)
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SANDWICH-TYPE THEOREMS FOR MEROMORPHIC MULTIVALENT FUNCTIONS ASSOCIATED WITH THE LIU-SRIVASTAVA OPERATOR
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作者 Nak Eun Cho 《Acta Mathematica Scientia》 SCIE CSCD 2012年第3期929-941,共13页
The purpose of this article is to obtain some subordination and superordi- nation preserving properties of meromorphic multivalent functions in the punctured open unit disk associated with the Liu-Srivastava operator.... The purpose of this article is to obtain some subordination and superordi- nation preserving properties of meromorphic multivalent functions in the punctured open unit disk associated with the Liu-Srivastava operator. The sandwich-type results for these meromorphic multivalent functions are also considered. 展开更多
关键词 SUBORDINATION superordination meromorphic multivalent function Liu- Srivastava operator sandwich-type result
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Integral Means of Univalent Solution for Fractional Differential Equation
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作者 Rabha W. Ibrahim Maslina Darus 《Applied Mathematics》 2012年第6期590-593,共4页
By employing the Srivastava-Owa fractional operators, we consider a class of fractional differential equation in the unit disk. The existence of the univalent solution is founded by using the Schauder fixed point theo... By employing the Srivastava-Owa fractional operators, we consider a class of fractional differential equation in the unit disk. The existence of the univalent solution is founded by using the Schauder fixed point theorem while the uniqueness is obtained by using the Banach fixed point theorem. Moreover, the integral mean of these solutions is studied by applying the concept of the subordination. 展开更多
关键词 FRACTIONAL CALCULUS SUBORDINATION superordination UNIVALENT SOLUTION FRACTIONAL Differential Equation Integral Mean
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On Hyponymy and Semantic Fields
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作者 袁云博 《海外英语》 2012年第2X期253-254,共2页
This paper aims at elaborating on the semantics. The concept of hyponymy is mentioned first. Then the concept of semantic fields is mentioned. In order to make a comparison between hyponymy and semantic fields, there ... This paper aims at elaborating on the semantics. The concept of hyponymy is mentioned first. Then the concept of semantic fields is mentioned. In order to make a comparison between hyponymy and semantic fields, there are some examples in the paper. 展开更多
关键词 HYPONYMY SEMANTIC FIELDS SUPERORDINATE SUBORDINATE
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Analytic solutions of the generalized water wave dynamical equations based on time-space symmetric differential operator 被引量:2
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作者 Rabha W.Ibrahim Chandrashekhar Meshram +1 位作者 Samir B.Hadid Shaher Momani 《Journal of Ocean Engineering and Science》 SCIE 2020年第2期186-195,共10页
It is well known that there is a deep connection between the symmetric and traveling wave solutions.It has been shown that all symmetric waves are traveling waves.In this paper,we establish new analytic solution colle... It is well known that there is a deep connection between the symmetric and traveling wave solutions.It has been shown that all symmetric waves are traveling waves.In this paper,we establish new analytic solution collections of nonlinear conformable time-fractional water wave dynamical equation in a complex domain.For this purpose,we construct a new definition of a symmetric conformable differential operator(SCDO).The operator has a symmetric representation in the open unit disk.By using SCDO,we generalize a class of water wave dynamical equation type time-space fractional complex Ginzburg-Landau equation.The results show that the obtainable approaches are powerful,dependable and prepared to apply to all classes of complex differential equations. 展开更多
关键词 Analytic solution Conformable calculus Fractional calculus Water wave equations Majorization Subordination and superordination
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