In the paper we introduce an idea of harmonic functions with correlated coefficients which generalize the ideas of harmonic functions with negative coefficients introduced by Silverman and harmonic functions with vary...In the paper we introduce an idea of harmonic functions with correlated coefficients which generalize the ideas of harmonic functions with negative coefficients introduced by Silverman and harmonic functions with varying coefficients defined by Jahangiri and Silverman. Next we define classes of harmonic functions with correlated coefficients in terms of generalized Dziok-Srivastava operator. By using extreme points theory, we obtain estimations of classical convex functionals on the defined classes of functions. Some applications of the main results are also considered.展开更多
In the present investigation we define a new class of meromorphic functions on the punctured unit disk A△^＊ ：= {z ∈ C ： 0 〈 ｜z｜ 〈 1} by making use of the generalized Dziok-Srivastava operator Hm^l [α1]. Coef...In the present investigation we define a new class of meromorphic functions on the punctured unit disk A△^＊ ：= {z ∈ C ： 0 〈 ｜z｜ 〈 1} by making use of the generalized Dziok-Srivastava operator Hm^l [α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neighborhood results for functions in new class.展开更多
In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator Lαk . For functions in this class Hαk （p,λ;h） we estimate the coefficients. Furthermore, some subordinatio...In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator Lαk . For functions in this class Hαk （p,λ;h） we estimate the coefficients. Furthermore, some subordination properties related to the operator Lαk are also derived.展开更多
The generalized Dziok-Srivastava operator is used here to introduce a class of analytic functions in the open unit disc. We provide convolution properties, some subordination relations and the problem of radius. The r...The generalized Dziok-Srivastava operator is used here to introduce a class of analytic functions in the open unit disc. We provide convolution properties, some subordination relations and the problem of radius. The results presented here extend some of the earlier results.展开更多
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
By using the hypergeometric function defined by the Dziok-Srivastava operator, a new subclass of meromorphic function is introdued. We obtain Fekete-Szeg? inequalities for the meromorphic function f(z) for which α-(1...By using the hypergeometric function defined by the Dziok-Srivastava operator, a new subclass of meromorphic function is introdued. We obtain Fekete-Szeg? inequalities for the meromorphic function f(z) for which α-(1 + α{1 +z[_lI_mf(z)]′′/[_lI_mf(z)]′}/z[_lI_mf(z)]′/_lI_mf(z))■φ(z)(α ∈ C-{1/2, 1}).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
基金supported by the Centre for Innovation and Transfer of Natural Sciences and Engineering Knowledge,University of Rzeszów
文摘In the paper we introduce an idea of harmonic functions with correlated coefficients which generalize the ideas of harmonic functions with negative coefficients introduced by Silverman and harmonic functions with varying coefficients defined by Jahangiri and Silverman. Next we define classes of harmonic functions with correlated coefficients in terms of generalized Dziok-Srivastava operator. By using extreme points theory, we obtain estimations of classical convex functionals on the defined classes of functions. Some applications of the main results are also considered.
文摘In the present investigation we define a new class of meromorphic functions on the punctured unit disk A△^＊ ：= {z ∈ C ： 0 〈 ｜z｜ 〈 1} by making use of the generalized Dziok-Srivastava operator Hm^l [α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neighborhood results for functions in new class.
文摘In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator Lαk . For functions in this class Hαk （p,λ;h） we estimate the coefficients. Furthermore, some subordination properties related to the operator Lαk are also derived.
基金Supported by the Natural Science Foundation of Inner Mongolia of China(2014MS0101)Supported by the Natural Science Foundation of China(11561001)Supported by the Higher School Research Foundation of Inner Mongolia of China(NJZY16251)
文摘The generalized Dziok-Srivastava operator is used here to introduce a class of analytic functions in the open unit disc. We provide convolution properties, some subordination relations and the problem of radius. The results presented here extend some of the earlier results.
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.
基金The NSF(KJ2015A372)of Anhui Provincial Department of Education
文摘By using the hypergeometric function defined by the Dziok-Srivastava operator, a new subclass of meromorphic function is introdued. We obtain Fekete-Szeg? inequalities for the meromorphic function f(z) for which α-(1 + α{1 +z[_lI_mf(z)]′′/[_lI_mf(z)]′}/z[_lI_mf(z)]′/_lI_mf(z))■φ(z)(α ∈ C-{1/2, 1}).
基金Supported by National Natural Science Foundation of China(11271045)Research Fund for the Doctoral Program of China(20100003110004)+2 种基金Natural Science Foundation of Inner Mongolia(2010MS01172014MS0101)Higher School Foundation of Inner Mongolia(NJzc08160)
基金Natural Science Foundation of Anhui provincial Department of Education(KJ2015A372,KJ2018A0833)Dr start project in Guangdong province(2016A030310106)the key cultivated project at school level of the National Science Fund of Guangzhou Civil Aviation College(18X0433)
基金Supported by Institution of Higher Education Scientific Research Project in Ningxia (NGY2017011)National Natural Science Foundations of China (1156105511762017)
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。
