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.     

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.     

关于全平面上解析的Laplace-Stieltjes变换的零级

应用两个零级的型函数,研究了全平面上解析的Laplace-Stieltjes变换的零级,并得到其系数与增长级的关系,推广了Dirichlet级数的相关结论.     

一类零级Dirichlet级数的增长性

本文研究了一类零级Dirichlet级数在全平面上的级、下级以及正规增长性.利用Knopp-Kojima的方法,获得了一类零级Dirichlet级数在全平面上的级、下级以及正规增长性的充要条件,推广了平面上零级Dirichlet级数增长性的研究范围.     

零级亚纯函数与多项式的复合函数的对数导数引理及其应用

研究零级亚纯函数与多项式的复合函数的对数导数引理.作为其应用,我们获得了零级亚纯函数与多项式复合函数的Nevanlinna特征和第二基本定理.     

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.     

半平面上零级Dirichlet级数的增长性

本文研究半平面上的零级Dirichlet级数的增长性,定义了半平面上的零级Dirichlet级数的指数级和指数下级,通过用零级Dirichlet级数的系数,得到了其与系数之间的关系.     

广义Laplace-Stieltjes变换的准确零(R)级

本文对广义Ｌａｐｌａｃｅ－Ｓｔｉｅｌｔｊｅｓ变换确定的解析函数引进了准确零（Ｒ）级的概念，得到了这样的函数有准确零（Ｒ）级的两个充要条件．其结果类似于指数级数     

全平面上解析的零级Laplace-Stieltjes变换

本文研究了Laplace-Stieltjes变换所定义的零级整函数的增长性.利用型函数,得到了这类整函数关于增长性及正规增长性的充要条件,推广了Dirichlet级数的相关结论.     

一类解析的零级Laplace-Stieltjes变换

本文研究了Laplace-Stieltjes变换所定义的零级整函数的增长性.利用牛顿多边形,得到了这类整函数关于增长性及正规增长性的充要条件,推广了文献[3]中的结果.     

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.     

A generalization of the theory of normal forms

Summary Normal forms allow the use of a restricted class of coordinate transformations (typically homogeneous polynomials) to put the bifurcations found in nonlinear dynamical systems into a few standard forms. We investigate here the consequences of relaxing the restrictions of the form of the coordinate transformations. In the Duffing equation, a logarithmic transformation can remove the nonlinearity: in one interpretation, the nonlinearity is replaced by a branch cut leading to a Poincaré section. When the linearized problem is autonomous with diagonal Jordan form, we can remove all nonlinearities order by order using these singular coordinate transformations. Deceased, November 4, 1993.     

停止损失限额变换与保险风险比较(英文)

本文讨论了停止损失限额次序、凸次序、随机控制之间的关系,建立了风险集合与停止损失限额变换集合之间的一一对应．应用停止损失限额变换的性质证明了停止损失限额分离定理,并修正了ＡｌｆｒｅｄＭｕｌｌｅｒ在此定理证明中的一个错误．     

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.

     

Laplace-Stieltjes变换所定义的右半平面上的解析函数的增长性与型函数

本文在Laplace-Stieltjes变换的研究中首次引进了精确级和型函数的概念,讨论了右半平面上有限级L-S变换所定义的解析函数F(s)的增长性,完善并推广了Dirichlet级数的关于精确级和型函数的有关结果.     

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.     

Discrete Symmetries of Systems of Isomonodromic Deformations of Second-Order Fuchsian Differential Equations

We compute the discrete affine group of Schlesinger transformations for isomonodromic deformations of a Fuchsian system of second-order differential equations. These transformations are treated as isomorphisms between the moduli spaces of logarithmic sl(2)-connections with given eigenvalues of the residues on ¹. The discrete structure is computed with the use of the modification technique for bundles with connections. The result generalizes the well-known classical computations of symmetries of the hypergeometric equation, the Heun equation, and the sixth Painlevé equation.     

Right Spread序的若干封闭性质

§1Introductionandmotivation Itisalwaysofinteresttocomparethevariabilityoftworandomvariablesinreliability theoryandeconomics.Thecomparisonsbasedonmomentssuchasvarianceandstandard deviationarenotveryinformativealthoughsuchmeasuresaresimpletouse.Meanwhile,sincethesecomparisonsarestaticones,andhencetheirapplicationsinsomefields,e.g.,reliabilityandfinance,arerestricted.Inthesefields,however,somedynamicalcomparisons areneeded.Asaresult,severalstochasticordersthataremorerefinedhavebeen establishedi…