Error Estimation of Functions by Fourier-Laguerre Polynomials Using Matrix-Euler Operators

Laguerre polynomials and Perron-Frobenius operators

Some Relations on Laguerre Matrix Polynomials

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...

Approximation of Functions by Matrix-euler Summability Means of Fourier Series in Generalized Hölder Metric

In this paper, a new estimate for the degree of trignometric approximation of a function f ∈ H r , (r ≥ 1) class by Matrix-Euler means (∆.E1) of its Fourier Series has been determined.

Laguerre-type operators, Special functions and Applications

The monomiality principle was introduced (see e.g. [1] and the references therein) in order to derive properties of special polynomials from the corresponding ones holding for monomials. A set of paramount importance in this framework is given by the Hermite-Kampé de Fériet (shortly H-KdF) or Gould-Hopper polynomials [2], [3], [4]. As it is well known, the Hermite-Kampé de Fériet polynomials H ...

Quadratic decomposition of Laguerre polynomials via lowering operators

A Laguerre polynomial sequence of parameter ε/2 was previously characterized in a recent work [Ana F. Loureiro and P. Maroni (2008) [28]] as an orthogonal Fε-Appell sequence, where Fε represents a lowering (or annihilating) operator depending on the complex parameter ε ≠ −2n for any integer n ⩾ 0. Here, we proceed to the quadratic decomposition of anFε-Appell sequence, and we conclude that the ...