In this paper we derive certain sufficient conditions for starlikeness and convexity of order α of meromorphically multivalent functions in the punctured unit disk.
In this paper, we introduce some new subclasses of meromorphically uniformly reciprocal starlike functions associated with the generalized Dziok-Srivastava operator and its corresponding integral operator defined by s...In this paper, we introduce some new subclasses of meromorphically uniformly reciprocal starlike functions associated with the generalized Dziok-Srivastava operator and its corresponding integral operator defined by subordination. We obtain the inclusion relation, sufficient conditions and raajorization property of the class. Moreover, we point out some new and interesting corollaries of our main result. These results generalize some known results.展开更多
In this paper we introduce and study some new subclasses of meromorphic starlike multivalent functions.Inclusion relations are established,Integral transforms of functions in these classes are also considered.In parti...In this paper we introduce and study some new subclasses of meromorphic starlike multivalent functions.Inclusion relations are established,Integral transforms of functions in these classes are also considered.In particular,our results include or improve several results due to Mogra et al.[2],Mogra [3],Goel and Sohe[4]and Bajpai[5].展开更多
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
利用线性算子Dα定义了亚纯多叶函数的新子类Tp,α(;βA,B)和Tp+,α(;βA,B),将解析函数的邻域概念应用到亚纯多叶函数上,探讨了这两个函数类的性质,得到函数f(z)=z-p+∑∞n=1anzn-p在类Tp,α(;βA,B)中的充分条件,并由此研究了其他性质...利用线性算子Dα定义了亚纯多叶函数的新子类Tp,α(;βA,B)和Tp+,α(;βA,B),将解析函数的邻域概念应用到亚纯多叶函数上,探讨了这两个函数类的性质,得到函数f(z)=z-p+∑∞n=1anzn-p在类Tp,α(;βA,B)中的充分条件,并由此研究了其他性质.利用类Tp+,α(;βA,B)的定义得到了f(z)=-z p+∑n∞=p an zn在类Tp+,α(;βA,B)中的充要条件.展开更多
近年来,基于不同的线性算子,一些p叶解析或亚纯函数类的性质和特征被广泛研究。本文令∑p表示形为f(z)=z-p+∑n∞=1anzn-p且在空心单位圆E0内解析的p叶函数全体组成的类。Dziok-Srivastava算子Hp,q,s(α1):∑p→∑p定义为Hp,q,s(α1)f(z...近年来,基于不同的线性算子,一些p叶解析或亚纯函数类的性质和特征被广泛研究。本文令∑p表示形为f(z)=z-p+∑n∞=1anzn-p且在空心单位圆E0内解析的p叶函数全体组成的类。Dziok-Srivastava算子Hp,q,s(α1):∑p→∑p定义为Hp,q,s(α1)f(z)=z-p+∑∞n=1(α1)n…(αq)n(β1)n…(βs)nann!zn-p。利用Dziok-Srivastava算子Hp,q,s(α1)定义了∑p的一个子类Wp+,q,s(α1,α),从函数类Wp+,q,s(α1,α)的定义导出函数f(z)=z-p+∑n∞=p an zn在类Wp+,q,s(α1,α)中的充要条件,并利用此结论证明了类中函数的一些线性组合和卷积也在子类Wp+,q,s(α1,α)中,证明函数F(z)=Zλλ+∫p0ztλ+p-1f(t)dt(λ>0;f∈∑p)与函数f(z)具有相同的性质。展开更多
文摘In this paper we derive certain sufficient conditions for starlikeness and convexity of order α of meromorphically multivalent functions in the punctured unit disk.
基金Supported by the National Natural Science Foundation of China(11561001)Supported by the Natural Science Foundation of Inner Mongolia Province(2014MS0101)Supported by the Higher School Foundation of Inner Mongolia Province(2015NJZY240)
文摘In this paper, we introduce some new subclasses of meromorphically uniformly reciprocal starlike functions associated with the generalized Dziok-Srivastava operator and its corresponding integral operator defined by subordination. We obtain the inclusion relation, sufficient conditions and raajorization property of the class. Moreover, we point out some new and interesting corollaries of our main result. These results generalize some known results.
文摘In this paper we introduce and study some new subclasses of meromorphic starlike multivalent functions.Inclusion relations are established,Integral transforms of functions in these classes are also considered.In particular,our results include or improve several results due to Mogra et al.[2],Mogra [3],Goel and Sohe[4]and Bajpai[5].
基金supported by the Basic Science Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Education,Science and Technology (2010-0017111)
文摘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.
文摘利用线性算子Dα定义了亚纯多叶函数的新子类Tp,α(;βA,B)和Tp+,α(;βA,B),将解析函数的邻域概念应用到亚纯多叶函数上,探讨了这两个函数类的性质,得到函数f(z)=z-p+∑∞n=1anzn-p在类Tp,α(;βA,B)中的充分条件,并由此研究了其他性质.利用类Tp+,α(;βA,B)的定义得到了f(z)=-z p+∑n∞=p an zn在类Tp+,α(;βA,B)中的充要条件.
文摘近年来,基于不同的线性算子,一些p叶解析或亚纯函数类的性质和特征被广泛研究。本文令∑p表示形为f(z)=z-p+∑n∞=1anzn-p且在空心单位圆E0内解析的p叶函数全体组成的类。Dziok-Srivastava算子Hp,q,s(α1):∑p→∑p定义为Hp,q,s(α1)f(z)=z-p+∑∞n=1(α1)n…(αq)n(β1)n…(βs)nann!zn-p。利用Dziok-Srivastava算子Hp,q,s(α1)定义了∑p的一个子类Wp+,q,s(α1,α),从函数类Wp+,q,s(α1,α)的定义导出函数f(z)=z-p+∑n∞=p an zn在类Wp+,q,s(α1,α)中的充要条件,并利用此结论证明了类中函数的一些线性组合和卷积也在子类Wp+,q,s(α1,α)中,证明函数F(z)=Zλλ+∫p0ztλ+p-1f(t)dt(λ>0;f∈∑p)与函数f(z)具有相同的性质。
