搜索结果: 1-15 共查到“Laguerre”相关记录44条 . 查询时间(0.125 秒)
On the Galois Group of generalized Laguerre polynomials
Newton polygon Galois group of big generalized laguerre polynomials
2014/12/25
Using the theory of Newton Polygons, we formulate a simple criterion for the Galois group of a polynomial to be “large.” For a fixed α∈ℚ-ℤ <0 , Filaseta and Lam have shown that the nth deg...
Algebraic Properties of a Family of Generalized Laguerre Polynomials
Generalized laguerre polynomials algebraic properties negative integral value parameter
2014/12/24
We study the algebraic properties of Generalized Laguerre Polynomials for negative integral values of the parameter. For integers r,n≥0 , we conjecture that L(−1−n−r)n(x)=∑nj=0(nW...
多变量Laguerre积分随机有限元方法的研究
Laguerre积分 随机有限元 等直叶片 Laguerre Integral Stochastic Finite Element Straight Blade
2014/6/19
本文在已有的单变量Laguerre积分随机有限元方法的基础上，建立基于Laguerre积分的多变量随机有限元公式，提出了多变量Lagurre积分随机有限元方法(LISFEM)。利用ANSYS的APDL语言二次开发功能，将LISFEM嵌入到ANSYS软件当中，生成相应的计算程序模块，并利用ANSYS的后处理程序，实现随机结构的全节点应力和变形的均值和方差的云图显示。最后，以二回路中汽轮机叶片为例，选...
基于Laguerre滤波器等价设计的IIR宽带波束形成
宽带波束形成 Laguerre滤波器 双线性变换 函数束
2017/1/10
常规IIR宽带波束形成器可以获得比FIR宽带波束形成器更好的性能,但其需要多极点的自适应调整过程,存在稳定性无法保证,计算复杂度较高等问题.本文提出一种新的基于IIR滤波器的宽带波束形成算法.该算法基于高阶Laguerre宽带波束形成器,利用双线性变换和函数束方法设计相应的低阶等价IIR宽带波束形成器.仿真实验及理论分析表明,该方法无需常规IIR宽带波束形成器的多极点自适应调整过程,在保证算法稳定...
面向航路规划的Laguerre图构造算法
Laguerre图 Voronoi图 Delaunay图 无人机
2013/5/31
Voronoi图是一种用于无人机航路规划的图形算法，其得到的初始航路为相邻威胁中心连线的垂直平分线，因而会穿越覆盖范围较广的威胁源。引入计算几何学中的Laguerre图用于航路规划，证明了当两个威胁区域不相交时，Laguerre图生成的初始航路必然从它们之间的空隙内穿过。针对Laguerre图生成算法不易实现的问题，提出一种基于Delaunay图的Laguerre图构造算法，其时间复杂度为线性对数...
Pencils of lines in generalized Laguerre spaces
Combinatorics Multidimensional Laguerre spaces subspaces pencils Grassmann spaces
2012/4/17
In the paper we characterize subspaces and pencils of lines of generalized (and multidimensional) Laguerre spaces and we consider definability of the structure of "conic" pencils in the Grassmann spac...
A heat kernel version of Hardy's theorem for the Laguerre hypergroup
Laguerre hypergroup Uncertainty principle Hardy's theorem
2011/9/30
The uncertainty principle says that a function and its Fourier transform can't simultaneously decay very rapidly at infinity. A classical version of uncertainty principle, known as Hardy's theorem, wa...
A heat kernel version of Hardy's theorem for the Laguerre hypergroup
Laguerre hypergroup Uncertainty principle Hardy's theorem
2011/9/29
The uncertainty principle says that a function and its Fourier transform can't simultaneously decay very rapidly at infinity. A classical version of uncertainty principle, known as Hardy's theorem, wa...
Higher order Laguerre-Gauss mode degeneracy in realistic, high finesse cavities
Higher order Laguerre-Gauss degeneracy realistic high finesse cavities
2011/10/14
Higher order Laguerre-Gauss (LG) beams have been proposed for use in future gravitational wave detectors, such as upgrades to the Advanced LIGO detectors and the Einstein Telescope, for their potentia...
Krall-Laguerre commutative algebras of ordinary differential operators
Krall-Laguerre commutative algebras ordinary differential operators Classical Analysis and ODEs
2011/9/15
Abstract: In 1999, Grunbaum, Haine and Horozov defined a large family of commutative algebras of ordinary differential operators which have orthogonal polynomials as eigenfunctions. These polynomials ...
Discrete Laguerre-Sobolev expansions: A Cohen type inequality
Laguerre polynomials Laguerre–Sobolev type polynomials Cohen type inequality Bessel functions
2011/8/25
Abstract: C. Markett proved a Cohen type inequality for the classical Laguerre expansions in the appropriate weighted $L^{p}$ spaces. In this paper, we get a Cohen type inequality for the Fourier expa...
Bose-Einstein condensation transition studies for atoms confined in Laguerre-Gaussian laser modes
Bose-Einstein condensation transition atoms Laguerre-Gaussian laser modes Atomic Physics
2011/8/1
Abstract: Multiply-connected traps for cold, neutral atoms fix vortex cores of quantum gases. Laguerre-Gaussian laser modes are ideal for such traps due to their phase stability. We report theoretical...
Bose-Einstein condensation transition studies for atoms confined in Laguerre-Gaussian laser modes
Bose-Einstein condensation transition atoms Laguerre-Gaussian laser modes Atomic Physics
2011/8/1
Abstract: Multiply-connected traps for cold, neutral atoms fix vortex cores of quantum gases. Laguerre-Gaussian laser modes are ideal for such traps due to their phase stability. We report theoretical...
Subordination by orthogonal martingales in $L^{p}$ and zeros of Laguerre polynomials
orthogonal martingales $L^{p}$ zeros of Laguerre polynomials
2011/1/18
In this paper we address the question of finding the best Lp-norm constant for martingale transforms with one-sided orthogonality. Let O = (,B, P)be a probability space with filtration B generated by ...
The application of the pseudostate-close-coupling method using a non-orthogonal Laguerre-L^2 basis for electron-helium scattering
Differential and total cross sections Elastic and excitation
2010/9/25
Differential and total cross sections for elastic and excitation from the ground state to n ≤ 2 states of atomic helium by electrons are computed for incident energies in the range from 5 to 50 eV. Th...