共查询到20条相似文献,搜索用时 31 毫秒
1.
Two new subclasses of harmonic univalent functions defined by convolution are introduced. The subclasses generate a number of known subclasses of harmonic mappings, and thus provide a unified treatment in the study of these subclasses. Sufficient coefficient conditions are obtained that are shown to be also necessary when the analytic parts of the harmonic functions have negative coefficients. Growth estimates and extreme points are also determined. 相似文献
2.
算子Dα及其刻划的亚纯p叶函数类 总被引:1,自引:0,他引:1
用算子Dα刻划了亚纯星象函数,亚纯凸象函数,亚纯近于凸函数和亚纯拟凸函数的新子类,建立了包含关系,讨论了这些类中函数积分算子的性质. 相似文献
3.
用算子刻划的亚纯单叶函数类 总被引:6,自引:0,他引:6
本文用算子刻划了亚纯星象函数、亚纯凸象函数、亚纯近于凸函数和亚纯拟凸函数的新子类,建立了包含关系,讨论了这些类中函数积分算子的性质。 相似文献
4.
We introduce and study two subclasses ?_([α_1])(A, B, λ) and ?_([α_1])~+ (A, B, λ) of meromorphic p-valent functions defined by certain linear operator involving the generalized hypergeometric function. The main object is to investigate the various important properties and characteristics of these subclasses of meromorphically multivalent functions. We extend the familiar concept of neighborhoods of analytic functions to these subclasses. We also derive many interesting results for the Hadamard products of functions belonging to the class ?_([α_1])~+(α, β, γ, λ). 相似文献
5.
In this paper we introduce and study some new subclasses of starlike, convex, close-to-convex and quasi-convex functions defined by the Komatu integral operator. Inclusion relationships are established and integral operator of functions in these subclasses is discussed. 相似文献
6.
In this paper, we introduce new subclasses of analytic and univalent functions and establish certain results concerning the quasi-Hadamard product of functions in these subclasses. Our result includes several previous known results as special cases. 相似文献
7.
《Applied Mathematics Letters》2006,19(8):728-734
In this work, the authors introduce several new subclasses of analytic functions in the unit disk and investigate various inclusion properties of these subclasses. Also, we determine inclusion relationships between these new subclasses and other known classes. 相似文献
8.
M.K. Aouf 《Applied mathematics and computation》2010,216(2):431-437
In this paper we introduce and study some new subclasses of p-valent starlike, convex, close-to-convex and quasi-convex functions defined by Dziok-Srivastava operator. Inclusion relationships are established and integral operator of functions in these subclasses is discussed. 相似文献
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10.
In this paper, we introduce several new subclasses of the function class Σ of bi-univalent functions analytic in the open unit disc defined by convolution.Furthermore, we investigate the bounds of the coefficients |a2| and |a3| for functions in these new subclasses. The results presented in this paper improve or generalize the recent works of other authors. 相似文献
11.
In this paper, we introduce new subclasses of p-valent analytic functions defined by using differential operator in the open unit disc. We study coefficient inequality, distortion theorem, radius of close to-convexity, starlikeness and convexity, extreme points and integral operator for functions in these new subclasses. 相似文献
12.
引进了近于凸函数的新子类.利用从属关系得到了偏差定理和卷积性质.所得结果推广了一些作者的相关结果,并得到有趣的新结果. 相似文献
13.
14.
In the present paper, we introduce several subclasses of analytic functions, which are defined by means of generalized integral operator and investigate various inclusion properties of these subclasses. Some interesting applications involving these and other families of integral operators are also considered. 相似文献
15.
We introduce certain subclasses of p-valent functions of bounded boundary rotation involving the generalized fractional differintegral operator and investigate various inclusion relationships for these subclasses. Some interesting applications involving certain classes of integral operators are also considered. 相似文献
16.
《Journal of the Egyptian Mathematical Society》2014,22(3):348-351
In this paper, we introduced two new subclasses of the function class Σ of bi-univalent functions analytic in the open unit disc defined by convolution. Furthermore, we find estimates on the coefficients ∣a2∣ and ∣a3∣ for functions in these new subclasses. 相似文献
17.
介绍了(高斯)超几何函数属于一致星象函数和一致凸函数的某些子类的一些性质.还考虑了与超几何函数相关的算子. 相似文献
18.
Krzysztof Piejko Janusz Sokó? 《Journal of Mathematical Analysis and Applications》2008,337(2):1261-1266
We consider a multiplier transformation and some subclasses of the class of meromorphic functions which was defined by means of the Hadamard product by N.E. Cho, O.S. Kwon and H.M. Srivastava in [N.E. Cho, O.S. Kwon, H.M. Srivastava, Inclusion and argument properties for certain subclasses of meromorphic functions associated with a family of multiplier transformations, J. Math. Anal. Appl. 300 (2004) 505-520]. 相似文献
19.
The purpose of the present paper is to investigate some subordination, other properties and inclusion relations for functions in certain subclasses of multivalent functions which are defined by the linear operator containing the generalized Mittag–Leffler function. 相似文献
20.
In the present paper, by using the Srivastava-Attiya operator, we define two new subclasses of k-fold symmetric analytic functions. Some interesting properties of these subclasses such as integral representations, extreme points, close convex hulls and subordinations are obtained, which generalize and refine some previous results. 相似文献