Laplace-Stieltjes变换所确定的整函数的对数级

研究了全平面上收敛的零级Laplce-Stieltjes变换的增长性问题,通过定义对数级和对数下级,得到了零级Laplace-Stieltjes变换具有对数级和对数下级的特征性质,推广了Dirichlet级数相关结果.     

慢增长的Laplace-Stieltjes变换的逼近

主要研究了全平面内收敛的Laplace-Stieltjes变换所表示的有限对数级整函数的增长性与逼近问题,得到了涉及对数级、对数型、Laplace-Stieltjes变换的系数与误差算子的若干定理,推广了罗茜,孔荫莹,Singhal和Srivastava等人的结果.     

二重Dirichlet级数的对数级与对数型

讨论了两类由二重Dirichlet级数所表示的整函数族,在此两族函数中分别给出二重Dirichlet级数的对数级与对数型定义,并得到关于二重Dirichlet级数的对数级与对数型的等价定理.     

半平面上无限级Dirichlet级数与随机Dirichlet级数的增长性

研究了半平面上无限级Dirichlet级数及随机Dirichlet级数的增长性,利用熊庆来的型函数及Newton多边形,在较宽的系数条件下给出了几个引理,讨论了半平面上无限级Dirichlet级数关于型函数U(r)的级及下级与系数的关系.得到了相应非同分布的无限级随机Dirichlet级数几乎必然(a.s.)有相同的关系.     

半平面上的Dirichlet级数的$(p,q)(R)$级和$(p,q)(R)$下级

讨论半平面上的Dirichlet级数的(p,q)(R)级,(p,q)(R)下级和正规(p,q)(R)级及它们之间的联系,并讨论了(p,q)(R)级,(p,q)(R)下级与级数的指数之间的关系.     

半平面上无限级Dirichlet级数的上下级

本文研究了右半平面上无限级Dirichlet级数的增长性及正规增长性.利用熊庆来的型函数及Newton多边形,得到了Dirichlet级数的下级与其系数的关系.     

在全平面上解析的Laplace-Stieltjes变换的正规增长性

本文研究了应用Knopp-Kojima的方法得到的Dirichlet级数正规增长性.利用Dirichlet级数和Laplace-Stieltjes变换的关系,得到了Laplace-Stieltjes变换在全平面上的正规增长级的等价条件.     

函数变换缩小数据级比偏差效果的比较原则

针对缩小序列级比偏差的单调变换,研究了在函数的和变换与每一个变换缩小级比偏差效果优劣的比较原则基础上证明了两函数之正线性和变换缩小级比偏差效果介于这两个函数缩小级比偏差效果之间.因此如果两函数之正线性和变换不比任何一个单独变换效果差,其实质是两函数商的比值是常数,即两函数变换缩小级比偏差效果一样好,并通过实例验证了结论.     

Laplace-Stieltjes变换所表示的解析函数的β-级

研究了在右半平面上收敛的无穷级Laplace-Stieltjes所表示的解析函数的增长性和正规增长性.通过引入一类新的增长指标,得到无穷级Laplace-Stieltjes变换的增长性和正规增长性的系数特征.     

广义Laplace-Stieltjes变换的无限级

对广义L印lace-Stieltjes变换确定的解析函数引进了无限级的概念,得到了这样的函数有无限级的两个充要条件,推广了全平面上Dirichlet级数的有关结果.     

Laplace-Stieltjes变换所定义的解析函数的精确型

In present paper, we study precisely the growth of analytic functions defined by zero order Laplace-Stieltjes transformation converging in right plane. The coefficient characterizations of generalized logarithmic p-type and generalized lower logarithmic p-type are obtained, which improve the results of logarithmic type and lower logarithmic type.     

整值随机变量序列与二重马氏链的比较及其极限性质

本文引进了对数似然比作为整值随机变量序列相对于二重马氏链的偏差的一种度量，并通过限制对数似然比给出了样本空间的某种子集。     

On meromorphic functions with finite logarithmic order

By using a slow growth scale, the logarithmic order, with which to measure the growth of functions, we obtain basic results on the value distribution of a class of meromorphic functions of zero order.

     

Functions of finite logarithmic order in the unit disc,Part I

The concept of logarithmic order in the unit disc forms a bridge between meromorphic functions of unbounded Nevanlinna characteristic and meromorphic functions of (usual) zero order of growth. A collection of fundamental results for meromorphic functions of finite logarithmic order is given. Some of these results are reminiscent from the finite order case. Part I of this paper culminates in solving the inverse problem related to the famous defect relation in the case of finite logarithmic order. Part II deals with the analytic case.     

THE OPTIMAL CONVERGENCE ORDER OF THE DISCONTINUOUS FINITE ELEMENT METHODS FOR FIRST ORDER HYPERBOLIC SYSTEMS

In this paper, a discontinuous finite element method for the positive and symmetric, first-order hyperbolic systems （steady and nonsteady state） is constructed and analyzed by using linear triangle elements, and the O（h^2）-order optimal error estimates are derived under the assumption of strongly regular triangulation and the Ha-regularity for the exact solutions. The convergence analysis is based on some superclose estimates of the interpolation approximation. Finally, we discuss the Maxwell equations in a two-dimensional domain, and numerical experiments are given to validate the theoretical results.     

Some Orders and Types of Generalized Hadamard Product of Entire Functions

In this paper we introduce an estimation, namely, the upper bounds of the order and type, logarithmic order and logarithmic type and q-order and q-type of generalized Hadamard product of functions of the complex variables z. We append this study by getting a result concerning the subject of linear substitution.     

On the Bochner-Riesz means of critical order

Stein's well-known logarithmic asymptotics of the Lebesgue constants of the Bochner-Riesz means of critical order is extended to Lebesgue constants of more general linear means of multiple Fourier series. These means are generated by certain class of functions supported in convex domains with boundaries of non-vanishing Gaussian curvature.

     

Dirichlet级数和随机Dirichlet级数的下级增长性

本文研究了全平面上零级和有限级Dirichlet级数及随机Dirichlet级数的下级增长性.利用型函数,得到了其系数和增长性之间的关系,以及当随机变量序列{X_n(ω)}满足一定条件时,零级和有限级随机Dirichlet级数在全平面上所确定的随机整函数在每条水平直线上的下级增长性几乎必然与相应的随机Dirichlet级数的下级增长性相同.