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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 operator H(a1,..., aq; b1,..., bs). Some inclusion properties for this class are obtained. 相似文献
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徐能 《数学物理学报(A辑)》2011,31(1):216-228
该文引进和研究了一类含有Dziok-Srivastava算子的新的多叶解析函数. 得到了这一函数类中的一些有趣的性质, 如包含关系, 卷积性质等. 这些结果改进和拓展了早期的一些工作. 同时也得到了其他一些新的结果. 相似文献
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通过Hadarnard卷积定义算子I<,n+p-1>,并利用其引进了新的解析函数类H(p,n,δ,A,B),研究了函数f(z)(f(z)∈A<,p>)属于函数类H(p,n,δ,A,B)的充分条件和部分和性质,同时还考虑了类H(p,n,δ,A,B)的卷积性质. 相似文献
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利用Dziok-Srivastava算子定义了单位圆盘内以原点为极点的具有正系数的p叶亚纯函数的子类Wp+,q,s(α1,α),考察它们的各种性质,并将解析函数的邻域概念运用于此亚纯多叶函数类. 相似文献
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本文继续研究了「1」中引进的线性同胚于星象函数的一族解析函数A(λ,α),给出了A(λ,α)族的卷积定理以及系数和的一个不等式。 相似文献
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介绍了单位圆盘U={Z∈C:|z|<1}内利用超几何函数定义的算子■λ1,λ2~(m,b)(ai,bj),定义了一类Bazilevi■函数类■λ1,λ2~(m,b)(ai,bj;γ,β;φ),利用从属性质研究了它的从属关系和包含关系,延展了一些研究内容. 相似文献
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李书海 《纯粹数学与应用数学》2005,21(3):268-271,283
引进一类P叶解析函数Qp(λ,α),证明类中函数的准确实部不等式,对Qp(λ,α)上的凸组合函数作了数量估计.由此推出文[3]中函数类的两个新结果. 相似文献
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《Integral Transforms and Special Functions》2012,23(5):401-417
Making use of the familiar Dziok–Srivastava operator defined by means of a Hadamard product (or convolution), we introduce here a new class of multivalently analytic functions and investigate several interesting properties of this multivalently analytic function class. We also show how the results presented here are related to those in earlier works on the subject. 相似文献
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《Integral Transforms and Special Functions》2012,23(3):223-236
The main objective of this paper is to derive some inequality properties, convolution properties, subordination and superordination properties, and sandwich-type results involving the generalized Srivastava–Attiya operator. 相似文献
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In the present paper, we use the methods of differential subordination and convo- lution to investigate some inclusion properties for certain classes of p-valent analytic functions in the open unit disk, which are associated with the Srivastava-Khairnar-More operator. The results presented here include several previous known results as their special cases. 相似文献
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《Integral Transforms and Special Functions》2012,23(3):221-234
By making use of the principle of subordination between analytic functions and the generalized Srivastava–Attiya operator, we introduce and investigate some new subclasses of multivalent analytic functions. Such results as inclusion relationships and integral-preserving properties involving these subclasses are proved. Several subordination and superordination results associated with this operator are also derived. 相似文献
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《Integral Transforms and Special Functions》2012,23(7):511-520
For a sufficiently adequate special case of the Dziok–Srivastava linear operator defined by means of the Hadamard product (or convolution) with a generalized hypergeometric function, the authors investigate several mapping properties involving various subclasses of analytic and univalent functions, which are introduced here. Relevant connections of the definitions and results presented in this paper with those in several earlier works on the subject are also pointed out. 相似文献
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Making use of the Carlson-Shaffer convolution operator, we introduce and study a new class of analytic functions related to conic domains. The main object of this paper is to investigate inclusion relations, coefficient bound for this class. We also show that this class is closed under convolution with a convex function. Some applications are also discussed. 相似文献
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Making use of the Carlson-Shaffer convolution operator, we introduce and study a new class of analytic functions related to conic domains. The main object of this paper is to investigat inclusion relations, coefficient bound for this class. We also show that this class is closed under convolution with a convex function. Some applications are also discussed. 相似文献
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