In this paper, we consider the partition function of a Laguerre type random matrix model

In this paper the Laguerre geometry of three-dimensional Galilei space, that is, the geometry of oriented planes and cycles of an aane Cayley-Klein space with absolute line and two conjugate complex absolute points on it, is studied. Several diierent models are presented: A cyclographic model and an isotropic model together with their duals and an interpretation in terms of geometrical optics o...

Polster and Steinke [Result. Math., 46 (2004), 103–122] determined the possible Kleinewillinghöfer types of flat Laguerre planes. These types reflect transitivity properties of groups of certain central automorphisms. We exclude three more types from the list given there with respect to Laguerre homotheties. This yields a complete determination of all possible single types with respect to Lague...

In this paper, a new LQG control design based on input-output data for linear time invariant continuous-time systems is proposed. Considering the laguerre series expansion of input-output signals, the controller can be synthesized using only the coefficients by an algebraic calculation. The analysis of the system transformed by the laguerre series expansion is utilized to lead this design metho...

The main object of this paper is to give a di erent approach to proof of generating matrix functions for Laguerre matrix polynomials. We also obtain the hypergeometric matrix representations, addition theorem, nite summation formula and an integral representation for Laguerre matrix polynomials. We get the relations between Laguerre, Legendre and Hermite matrix polynomials. We get the generatin...

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 discuss numerical solution of Altarelli-Parisi equations in a Laguerre-polynomial method and in a brute-force method. In the Laguerre method, we get good accuracy by taking about twenty Laguerre polynomials in the flavor-nonsinglet case. Excellent evolution results are obtained in the singlet case by taking only ten Laguerre polynomials. The accuracy becomes slightly worse in the small and l...

The notion of using orthonormal Laguerre sequences to represent discrete-time signals (sequences) 1.],,2.] was recently used for the representation of electromagnetic pulse (EMP) data 3.]. This formulations resulted in an error function that needed to be minimized with respect to a Laguerre parameter. The objective of this paper is to introduce some suucient conditions for this error function t...

In this study, a new and efficient approach is presented for numerical solution of Fredholm integro-differential equations (FIDEs) of the second kind on unbounded domain with degenerate kernel based on operational matrices with respect to generalized Laguerre polynomials(GLPs). Properties of these polynomials and operational matrices of integration, differentiation are introduced and are ultili...