In this correspondence, we point out two typographical errors in Chai and Tjhung’s paper and we offer the correct formula of the unified Laguerre polynomial-seriesbased cumulative distribution function (cdf) for small-scale fading distributions. A Laguerre polynomial-series-based cdf formula for non-central chi-square distribution is also provided as a special case of our unified cdf result.

A phase-space description of the Laguerre-Gaussian modes is presented that points out the connection between these modes and the Hermite-Gaussian modes. We exploit the underlying phase-space symmetries to derive a closed-form expression for the Wigner distribution function of Laguerre-Gaussian modes. This expression is as compact as the one for the Hermite-Gaussian modes.

In this work, we propose a numerical method to obtain an unconditionally stable solution for the finite-difference time-domain (FDTD) method for the TE case. This new method does not utilize the customary explicit leapfrog time scheme of the conventional FDTD method. Instead we solve the time-domain Maxwell’s equations by expressing the transient behaviors in terms of weighted Laguerre polynomi...

We investigate a numerical solution of the flavor-nonsinglet Altarelli-Parisi equation with next-to-leading-order α s corrections by using Laguerre polynomials. Expanding a structure function (or a quark distribution) and a splitting function by the Laguerre polynomials, we reduce an integrodifferential equation to a summation of finite number of Laguerre coefficients. We provide a FORTRAN prog...

Time-resolved fluorescence spectroscopy (TRFS) is a powerful analytical tool for quantifying the biochemical composition of organic and inorganic materials. The potential of TRFS for tissue diagnosis has been recently demonstrated. To facilitate the translation of TRFS to the clinical arena, algorithms for online TRFS data analysis are essential. A fast model-free TRFS deconvolution algorithm b...

We consider several generalizations of rook polynomials. In particular we develop analogs of the theory of rook polynomials that are related to general Laguerre and Charlier polynomials in the same way that ordinary rook polynomials are related to simple Laguerre polynomials.

This paper presents a method for approximating spherical tessellations, the edges of which are geodesic arcs, using spherical Laguerre Voronoi diagrams. The approximation method involves fitting the polyhedron corresponding to the spherical Laguerre Voronoi diagram to the observed tessellation using optimization techniques.

We describe the first non-classical 4-dimensional Minkowski planes and show that they have 6-dimensional automorphism groups. These planes are obtained by a construction of Schroth [18] from generalized quadrangles associated with the semiclassical 4-dimensional Laguerre planes. All 4-dimensional Minkowski planes that can be obtained in this way from the semiclassical 4-dimensional Laguerre pla...