右半平面上解析的Laplace-Stieltjes变换对数级

本文研究了零级Laplace-Stieltjes变换的增长性问题.利用对数级和对数下级的定义,获得了这类变换具有对数级的特征,即变换的对数级和对数下级与其系数之间的关系,推广了Dirichlet级数的相关结果.     

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.     

零级Dirichet级数的增长性及其Dirichlet-Hadamard乘积

本文研究了全平面上零级Dirichlet级数的增长性的问题.利用复级数理论,进一步讨论了在两种条件下Dirichlet级数的Dirichlet-Hadamard乘积的增长性,获得了零级Dirichlet级数及其Dirichlet-Hadamard乘积涉及对数级与对数型的几个关系定理,推广了孔荫莹等人的结果.     

二重B-值随机Dirichlet级数的线性增长性

本文研究了二重B-值随机Dirichlet级数线性增长性的问题.利用二重B-值随机变量列{Xmn}在某阶矩一致有界条件下的性质和Paley-Zygmund不等式,并结合二重Dirichlet级数的成果,获得了在一定条件下,二重B-值随机Dirichlet级数a.s.必然与二重Dirichlet级数有相同的线性增长性,推广了二重Dirichlet级数的线性增长性.     

二重 Dirichlet级数的增长性

首先研究了双平面上二重Dirichlet级数的系数和指数与增长性之间的关系, 得到了θ 线性下级的一个充要条件, 然后在适当的条件下, 对二重Dirichlet级数所确定的整函数在双水平直线上的θ 线性级进行了估计.     

β级α型Bazilevi?函数的对数系数

利用从属关系给出|(g(z)/f(z))~α|的估计.运用构造一个非负函数和对复变函数模的积分进行估计的方法,对β级α型Bazilevi函数类Bα(β)的对数系数bn进行研究.所得结果推广了一些作者的相关结果.     

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.     

全平面上无限级Dirichlet级数的增长性

利用Knopp-Kojima的方法研究在全平面上收敛的无限级Dirichlet级数的增长性,主要是讨论了Dirichlet级数的βU级与下βU级,应用型函数的方法及牛顿多边形,获得了关于βU级增长性的几个定理.     

半平面内随机Dirichlet级数的增长性

本文研究了右半平面上有限正级随机Dirichlet级数的增长性.利用Knopp-Kojima的方法,获得了两类随机Dirichlet级数关于型的三个结果,推广了半平面上有限级随机Dirichlet级数增长性的研究范围.     

随机Dirichlet级数在全平面上的增长性

本文研究了全平面上随机Dirichlet级数的增长性.应用Knopp-Kojima的方法,得到了两类随机Dirichlet级数关于型的两个结果.     

Logarithmic Function

Recall that a one-to-one function y= f（x） has an inverse function that is defined （implicitly） by the equation x= f（y）, In particular, the exponential function：     

Absolute Logarithmic Norm

In this paper we introduce and study a new concept of the absolute logarithmic norm, which has much in common with the classical definition of the logarithmic norm by S. M. Lozinskii. The the theory that we develop allows to obtain new facts from the Lyapunov stability theory for the systems of linear differential equations with constant coefficients. The presentation of the material relies heavily on the theory of off-diagonally nonnegative matrices arising from the Perron–Frobenius theory for nonnegative matrices.     

A Logarithmic Inequality

Mathematical Notes - The inequality $$\ln {\kern 1pt} \ln \left( {r - \ln r} \right) + 1 < \mathop {\min }\limits_{0 < x \leqslant r - 1} \left( {\ln x + {x^{ - 1}}\ln \left( {r - x}...     

一组对数不等式的应用

利用辅助函数的单调性可证对数不等式 x 1＋ x ≤ ln（1＋ x）≤1＋ x （x ≥0）。通过实例介绍这组对x数不等式在证明不等式、求函数最大（小）值等方面的应用。     

Logarithmic Sobolev trace inequality

A logarithmic Sobolev trace inequality is derived. Bounds on the best constant for this inequality from above and below are investigated using the sharp Sobolev inequality and the sharp logarithmic Sobolev inequality.

     

对数凸模糊映射

利用模糊数的表示定理,本文证明了对数凸模糊映射一些基本性质,并纠正了S.N anda和K.K ar对数凸模糊映射定义的不合理性和其证明中的错误。     

Logarithmic derivatives in annuli

In this paper, we define Nevanlinna functions in annuli with two independent variables and use them to prove a version of the generalized logarithmic derivative lemma in annuli. As a corollary, we can conclude the logarithmic derivative lemma in a disk and the complex plane.     

Logarithmic potentials on Pn

We study the projective logarithmic potential ${\mathbb{G}}_{\mu }$ of a probability measure μ on the complex projective space ${\mathbb{P}}^n$. We prove that the range of the operator $\mu ?{\mathbb{G}}_{\mu }$ is contained in the (local) domain of definition of the complex Monge–Ampère operator acting on the class of quasi-plurisubharmonic functions on ${\mathbb{P}}^n$ with respect to the Fubini–Study metric. Moreover, when the measure μ has no atom, we show that the complex Monge–Ampère measure of its logarithmic potential is an absolutely continuous measure with respect to the Fubini–Study volume form on ${\mathbb{P}}^n$.     

Logarithmic Transformations into G

Recently the author introduced the logarithmic matrix L_t and studied as it mappings into l. In this paper, we study L_t as mappings into G. The necessary and sufficient conditions for L_t to be G-G is proved. The strengths of L_t in the G-G is settings is investigated. Also, it is shown that L_t is translative in the G-G senses for certain sequences.