The continuous Jacobi transform.
The Convergence Rates of Expansions in Jacobi Polynomials.
The Hermite polynomials and the Bessel functions from a general point of view.
The interplay between classical analysis and (numerical) linear algebra -- a tribute to Gene H. Golub.
The Lebesgue Constants for Borel Summation of Laplace Series.
The Poisson Kernel for Heisenberg Polynomials on the Disk.
The quantized Jacobi polynomials
The author studies a system of polynomials orthogonal at a finite set of points its weight approximating that of the orthogonal system of classical Jacobi polynomials.
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 restricted Toda chain, exponential Riordan arrays, and Hankel transforms.
The second-order self-associated orthogonal sequences.
The symmetrical -semiclassical orthogonal polynomials of class one.
The Weyl fractional operator of a system of polynomials
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.
Toeplitz Arrays, Linear Sequence Transformations and Orthogonal Polynomials.
Transference for hypergroups.
A transference theorem for convolution operators is proved for certain families of one-dimensional hypergroups.
Transformations of certain generalized Kampé de Fériet functions. II.
Tschebyscheffpolynome in mehreren Variablen.
Turán inequalities for symmetric orthogonal polynomials.