In consideration of the factor that the energy of the induced current on a scattering object excited by a plane wave with a Gaussian pulse almost all concentrates on a finite time and frequency-domain, by expanding the response in time with Laguerre function, a corresponding frequency-domain response is attained by using Fourier transform.

In this paper, the electromagnetic response of multi scatterers excited by a Gaussian plane wave is calculated using simultaneous extrapolation in time and frequency domains based on Laguerre function expansion.

This article makes use of the approximation property of Laguerre orthogonal function series to present a Laguerre function approximate model of linear dynamic systems.

The rate of convergence of the series of generalized Laguerre polynomials is accelerated by the iterations of Levin t-transformation.

In this paper,the Laguerre generalized differences_z and the kernel function G(y) are introduced and the representations in principle value of conjugate Laguerre expansion are given.

The duality property of several kinds of generalized functions;

This article using AHP to determine the weighting of index,using generalized function to nondimensionalize the value of index,then calcalute the systematic evaluation index.

First, by comparing with the definition of ordinary function, the definition of the general function and the equality of two generalized functions are introduced.