共查询到19条相似文献,搜索用时 62 毫秒
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In this paper, a new subclass N_Σ~(h,p)(m, λ, μ) of analytic and bi-univalent functions in the open unit disk U is defined by salagean operator. We obtain coefficients bounds |a_2| and |a_3| for functions of the class. Moreover, we verify Brannan and Clunie's conjecture |a_2| ≤2~(1/2)for some of our classes. The results in this paper extend many results recently researched by many authors. 相似文献
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讨论和研究了受限于Salagean算子且同时满足:1+1/b((D~(n+1)f(z)/(D~nf(z)))-1)φ(z)和1+1/b((D~(n+1)f~(-1)(ω)/(D~nf~(-1)(ω))-1)Ψ(ω)的bi-单叶解析函数的系数估计问题,这里φ(z)和Ψ(ω)为正实部函数.主要的研究结果直接推广了先前相应工作. 相似文献
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本文引入了由广义Dziok-Srivastava算子定义的多叶调和函数新子类, 给出了该类中函数的系数不等式, 偏差估计和极值点等性质. 相似文献
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定义受限Salagean算于的一般化族M(φ,n,b),这里φ(z)为正买部函数.完整的给出了当:i)b∈C,μ∈C;ii)b>0,μ∈R;(3)b∈C,μ∈R3种不同情况下关于Fekete-Szego函数A(f)=|a_3-μa_22}的最好界,这里.f∈M(φ,n,b).主要结果覆盖了一些相关的重要子族. 相似文献
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在单复变函数的研究中,解析函数及调和函数的单叶性与保向性一直都是一个研究的主要问题.众所周知,调和函数f=h+(g)在单位圆盘U内局部单叶及保向当且仅当|h'(z)|>|g'(z)|.那么能否找到调和函数单叶保向的其它条件呢?引入了解析部分在不同区域上星象的调和函数的子类,并首次给出了相应函数类上的调和函数单叶及保向的... 相似文献
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讨论关于P^#γ(A,B)的系数估计和偏差定理,其中P^#γ(A,B)表示在单位圆盘内解析且满足/([M^A f(z)]'-1)/(A-B[M^A f(z)]')/〈1的函数f(z)=z+∞∑n=k/an/z^n(k≥2)的类。 相似文献
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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
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借用著名的Ruscheweyh导数,引入了一类单叶保向调和函数族. 通过建立极值理论,得到了关联该族的最优系数边界、最优增长定理和最优偏差定理. 同时,给出了该族与先前已有调和函数族之间的转换半径. 最后,讨论了基于该族的修正哈达玛乘积结果. 相似文献
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黄新民 《纯粹数学与应用数学》1998,14(4):89-94,84
本文对于给定的Betrami系数a(z)找到了存在将单位圆盘U映射为给定的多边形P并且满足方程fx^-=a(z)fx的单叶调和保向映射函数f(z)的条件。 相似文献
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A CLASS OF HARMONIC STARLIKE FUNCTIONS WITH RESPECT TO SYMMETRIC POINTS ASSOCIATED WITH WRIGHT GENERALIZED HYPERGEOMETRIC FUNCTION
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Making use of Wright operator we introduce a new class of complex-valued harmonic functions with respect to symmetric points which are orientation preserving, univalent and starlike. We obtain coefficient conditions, extreme points, distortion bounds, and convex combination. 相似文献
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In this article,we prove that the symmetric function F_n~*(x,r)=i_1+i_ 2_++i_n =r(x_1~(i~1)x_2~(i~2)... x_n~(i~n)1/r is Schur harmonic convex for x∈R~n_+and r∈N={1,2,3,...}.As its applications,some analytic inequalities are established. 相似文献
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A complex-valued harmonic function that is univalent and sense preserving in the unit disk U can be written in the form of f = h + g,where h and g are analytic in U.We define and investigate a new class LH_λ(α,β) by generalized Salagean operator of harmonic univalent functions.We give sufficient coefficient conditions for normalized harmonic functions in the class LH_λ(α,β).These conditions are also shown to be necessary when the coefficients are negative.This leads to distortion bounds and extreme points. 相似文献
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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 Lαkare also derived. 相似文献
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通过对α阶β型亚纯星形算子值函数类∑p(α,β)的若干性质的讨论,得到了关于∑p(α,β)的一个充分必要条件的f(z)的算子系数的一个估计,同时,也证明了∑p(α,β)在算子平均和凸线性组合下是闭的。 相似文献
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The main objective is to derive a lower bound from an upper one for harmonic functions in the half space, which extends a result of B. Y. Levin from dimension 2 to dimension n ≥ 2. To this end, we first generalize the Carleman’s formula for harmonic functions in the half plane to higher dimensional half space, and then establish a Nevanlinna’s representation for harmonic functions in the half sphere by using Hrmander’s theorem. 相似文献
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刘名生 《数学物理学报(B辑英文版)》2002,22(3)
In this paper, the new subclass Bn( ,a,A,B) of analytic functions is introduced. Its subordination relations, inclusion relations, the inequality properties and convering theorem are discussed. The results obtained in this paper are sharp, which generalize the related works of some authors and some other new results are obtained. 相似文献