Laguerre polynomial

Generalized Laguerre polynomial and the solution of radial equation of alkaline-metal atom

广义拉盖尔多项式及碱金属原子径向方程的求解

The results show that the intensity distribution and the kurtosis parameter of elegant Laguerre-Gaussian beams in the fractional Hankel transform plane not only depend on order p and index m of Laguerre polynomial , but also evolve periodically with fractional order p of fractional system .

结果显示，优美拉盖尔高斯光束在分数汉克尔变换平面的光强和Kurtosis参数不仅与拉盖尔多项式的阶次有关，而且还随分数系统的分数度呈周期性变化。

Analysis of bifurcation and chaos in double-well Duffing system via Laguerre polynomial approximation

基于Laguerre多项式逼近法的随机双势阱Duffing系统的分岔和混沌研究

A new automatic and semi automatic numerical inversion of Laplace transform method based on Laguerre polynomial is presented .

提出一种基于Laguere多项式的自动与半自动数字Laplace逆变换方法。

We also develope the corresponding spherical harmonic-generalized Laguerre polynomial mixed spectral method and apply them successfully to computation of three dimensional problems , exterior problems and nonlinear problems .

然后，我们发展了球面调和-广义Laguerre多项式混合谱方法，并成功地应用于全空间问题，球外问题以及非线性问题。

Laguerre polynomial approximation method is applied to study the period-doubling bifurcation and chaos behavior in double-well Duffing system with a random parameter subjected to harmonic excitation .

应用Laguerre正交多项式逼近法研究了含有随机参数的双势阱Duffing系统的分岔和混沌行为。

Locomotive models are established according to different tractive operation ways and the k order moment by the moment compound of random variables is then calculated . The PDF ( Probability Density Function ) of the load current can be fitted by the Laguerre polynomial expansion .

根据机车不同的运行方式建立机车模型，通过随机变量矩的合成求出机车电流的k阶原点矩，利用Laguerre多项式展开拟合其概率密度函数PDF（Probabilitydensityfunction）。

The Differential Form of Associated Laguerre 's Polynomial

缔合拉盖尔多项式的微分形式