Some starlikeness criterions for analytic functions

We determine a condition on M, α, λ and μ for which

     

Killing and subordination

Given the one-to-one correspondence between nearly Borel right processes and non-symmetric Dirichlet forms, we prove in the present paper that the killing transform of Markov processes is equivalent to strong subordination of the respective Dirichlet forms and give a characterization of so-called bivariate smooth measures.

     

C~n超球上全纯映射的单叶性准则

本文运用从属原理给出局部双全纯映射的一些单叶性准则。     

Multivariate Geometric Stable Laws

The paper discusses recent advances in the theory of multivariate geometric stable (GS) distributions. The results presented include characterizations, mixture representations, properties, simulation, and estimation.     

Eigenfunctions of the Laplacian on rotationally symmetric manifolds

Eigenfunctions of the Laplacian on a negatively curved, rotationally symmetric manifold are constructed explicitly under the assumption that an integral of converges. This integral is the same one which gives the existence of nonconstant harmonic functions on

     

Properties of Certain Integral Operators

For analytic functions f() belonging to the class A_p, integral operators I_n^a (f()) are introduced. The object of the present paper is to derive some interesting properties of integral operators I_n^a(f(z)). Our results contain some previous results by M. Obradovié [4], S. Owa, M. Obradovi, and M. Nunokawa [6], and by D.K. Thomas [7].AMS Subject Classification (2000) primary 30C45 secondary 32A20Supported, in part, by the Japanese Ministry of Education, Science and Culture under a grant-in-aid for general scientific research.     

与广义$(p,q)$量子积分算子有关的调和单叶函数

利用广义的$(p,q)$量子积分算子, 本文引入了与Janowski函数相关的调和单叶函数的某些子类, 得到了这些函数类的充分系数条件, 极值点, 偏差估计及部分和等性质.     

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.     

Subordination Results for ρ-Valent Meromorphic Functions Associated with a Linear Operator

In this paper, by making use of the Hadamard products, we obtain some subordination results for certain family of meromorphic functions defined by using a new linear operator.     

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.