某些星象函数子类的优化问题

In this article, we study several majorizaton properties for the subclasses SL~*,SR~*(a, b), BS~*(α), S_c~*, S_q~* and S_R~* of starlike functions. Meanwhile, some special cases of our main results are given.     

Ma-Minda 型双向单叶函数的三阶~Hankel 行列式

In this paper, we investigate the third Hankel determinant H_3(1) for the class H_σ~μ(λ, φ)(λ≥ 1, μ≥ 1) of Ma-Minda bi-univalent functions in the open unit disk D = {z : |z| 1} and obtain the upper bound of the above determinant H_3(1).     

一类由从属关系定义的m-折对称双单叶函数的系数估计及Fekte-Szego不等式

本文研究了一类由从属关系定义的$m$-折对称双单叶函数的系数估计及Fekte-Szego不等式,所得结果改进或推广了已有部分作者的结论.     

具有次线性中立项的二阶阻尼微分方程的振动准则

该文研究如下具有次线性中立项的二阶阻尼微分方程的振动性(a(t)(z'(t))γ)'+b(t)(z'(t))γ+q(t)xβ(σ(t))=0,其中z(t)=x(t)+p(t)xα(7-(t)).利用广义Riccati变换和不等式技巧建立了所考虑方程的新的振动准则.所得结果改进,推广了某些熟知的结果.也给出阐述所得结果意...     

一致星象和凸象超几何函数的一些性质

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.     

三阶常系数线性非齐次微分方程通解的降阶法

将降阶法应用于三阶常系数线性非齐次微分方程,对一般类型的非齐次项形式,给出了上述方程的通解公式,此外还给出了相应的应用例题.     

与正弦函数有关的星形函数逆的Toeplitz行列式

Let S_s*be the class of normalized functions f defined in the open unit■such that the quantity zf’(z)/f(z)lies in an eight-shaped region in the right-half plane and satisfies the condition■.In this paper,we aim to investigate Toeplitz determinants for the inverse of this function classes S_s*associated with sine function.     

由Srivastava-Khairnar-More算子定义的$p$叶函数类的包含关系

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.     

用Ruscheweyh算子定义的解析函数类

In the present paper a class of extended close-to-convex functions Qk,λ（α,β,ρ） defined by making use of Ruscheweyh derivatives is introduced and studied. We provide integral representations, distortion theorem, radius of close-to-convexity and Hadamard product properties for this class.     

近于凸函数新子类的偏差定理和卷积性质

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.