Results 81 to 90 of about 1,282 (191)

On the properties and algebraic features of extended multivariate Hermite-based Appell polynomials

Demonstratio Mathematica
This paper introduces a new family of multivariate Hermite-based Appell polynomials with a one-parameter extension, defined through an appropriate generating function.
Zayed Mohra, Alqurashi Taghreed, Khan Waseem Ahmad, Wani Shahid Ahmad, Oros Georgia Irina   +4 more
doaj   +1 more source

Spreading lengths of Hermite polynomials

Journal of Computational and Applied Mathematics, 2010
16 pages, 4 figures.
Pablo Sánchez-Moreno, Jesús Sánchez-Dehesa, Daniel Manzano, R. J. Yáñez   +3 more
openaire   +4 more sources

Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type

Symmetry, Integrability and Geometry: Methods and Applications, 2012
We introduce and study natural generalisations of the Hermite and Laguerre polynomials in the ring of symmetric functions as eigenfunctions of infinite-dimensional analogues of partial differential operators of Calogero-Moser-Sutherland (CMS) type.
Patrick Desrosiers, Martin Hallnäs
doaj   +1 more source

Studies on the Method of Orthogonal Collocation IV. Laguerre and Hermite Orthogonal Collocation Method

Journal of King Saud University: Engineering Sciences, 2000
Differential equations for which the zeros of Laguerre and Hermite polynomials are suitable collocation points are identified. It is shown that the equations representing tubular reactors with axial dispersion can be solved efficiently using the zeros of
M.A. Soliman
doaj   +1 more source

The combinatorics of associated Hermite polynomials

European Journal of Combinatorics, 2009
[v1]: 18 pages, 16 figures; presented at FPSAC 2007 [v2]: Some minor errors fixed (thanks Bill Chen, Jang Soo Kim) and text rearranged and cleaned up; no real content changes [v3]: fixed typos, to appear in European J ...
openaire   +4 more sources

Multi-variable Gould-Hopper and Laguerre polynomials

Le Matematiche, 2007
The monomiality principle was introduced by G. Dattoli, in order to derive the properties of special or generalized polynomials starting from the corresponding ones of monomials.
Caterina Cassisa, Paolo E. Ricci
doaj  

Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae

Mathematical Modelling and Analysis, 2016
We consider integral error representation related to the Hermite interpolating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Holder’s inequality and some inequalities for the Čebyšev functional.
Gorana Aras-Gazic, Josip Pečaric, Ana Vukelic   +2 more
doaj   +1 more source

Exploring Zeros of Hermite-λ Matrix Polynomials: A Numerical Approach

Mathematics
This article aims to introduce a set of hybrid matrix polynomials associated with λ-polynomials and explore their properties using a symbolic approach.
Maryam Salem Alatawi, Manoj Kumar, Nusrat Raza, Waseem Ahmad Khan   +3 more
doaj   +1 more source

Certain Summation and Operational Formulas Involving Gould–Hopper–Lambda Polynomials

Mathematics
This manuscript introduces the family of Gould–Hopper–Lambda polynomials and establishes their quasi-monomial properties through the umbral method. This approach serves as a powerful mechanism to analyze the characteristic of multi-variable special ...
Maryam Salem Alatawi
doaj   +1 more source

An extremal property of Hermite polynomials

Journal of Mathematical Analysis and Applications, 2004
Consider the sequence of the Hermite polynomials \(H_m(x)=(-1)^m e^{x^2}\frac{d^m}{dx^m} \{e^{-x^2}\}\), \((m=0,1,\dots)\), i.e. orthogonal polynomials in \(L_2(\mathbb R,w)\), where \(w(x)=\exp(-x^2)\). The main result of the paper is the following Duffin-Schaeffer type inequality. If \(f\) is a polynomial on \(\mathbb R\) of degree at most \(n\) such
openaire   +1 more source