The Rahman polynomials are bispectral.
The rate of convergence for spectra of GUE and LUE matrix ensembles
We obtain optimal bounds of order O(n −1) for the rate of convergence to the semicircle law and to the Marchenko-Pastur law for the expected spectral distribution functions of random matrices from the GUE and LUE, respectively.
The rational qKZ equation and shifted non-symmetric Jack polynomials.
The relational translators of the hyperspherical functional matrix.
The restricted Toda chain, exponential Riordan arrays, and Hankel transforms.
The second-order Klein-Gordon field equation.
The second-order self-associated orthogonal sequences.
The structure of totally disconnected, locally compact groups.
The symmetrical -semiclassical orthogonal polynomials of class one.
The truncated exponential polynomials, the associated Hermite forms and applications.
The Weyl fractional operator of a system of polynomials
The zeros of as functions of order.
Theorems for double-index one-parameter Bessel functions.
Theorems on the Convergence of Series in Generalized Lommel-Wright Functions
Mathematics Subject Classification: 30B10, 30B30; 33C10, 33C20The classical Cauchy-Hadamard, Abel and Tauber theorems provide useful information on the convergence of the power series in complex plane. In this paper we prove analogous theorems for series in the generalized Lommel-Wright functions with 4 indices. Results for interesting special cases of series involving Bessel, Bessel-Maitland, Lommel and Struve functions, are derived.We provide also a new asymptotic formula for the generalized ...
Theoretical and numerical studies of the DG schemes in one space dimension
We give a proof of the existence of a solution of reconstruction operators used in the DG schemes in one space dimension. Some properties and error estimates of the projection and reconstruction operators are presented. Then, by applying the DG schemes to the linear advection equation, we study their stability obtaining maximal limits of the Courant numbers for several DG schemes mostly experimentally. A numerical study explains how the stencils used in the reconstruction affect the efficiency...
Three cases of normality of Hessenberg's matrix related with atomic complex distributions.
Three results in Dunkl analysis
We first establish a geometric Paley-Wiener theorem for the Dunkl transform in the crystallographic case. Next we obtain an optimal bound for the norm of Dunkl translations in dimension 1. Finally, we describe more precisely the support of the distribution associated to Dunkl translations in higher dimension.
Time-Fractional Derivatives in Relaxation Processes: A Tutorial Survey
2000 Mathematics Subject Classification: 26A33, 33E12, 33C60, 44A10, 45K05, 74D05,The aim of this tutorial survey is to revisit the basic theory of relaxation processes governed by linear differential equations of fractional order. The fractional derivatives are intended both in the Rieamann-Liouville sense and in the Caputo sense. After giving a necessary outline of the classica theory of linear viscoelasticity, we contrast these two types of fractiona derivatives in their ability to take into...
Toeplitz Arrays, Linear Sequence Transformations and Orthogonal Polynomials.
Total characters and Chebyshev polynomials.