Results 101 to 110 of about 18,610 (207)

Laguerre-type general-Appell polynomials

Integral Transforms and Special Functions
In this paper, new and general form of Laguerre-type Appell polynomials are introduced by using the Laguerre-type exponential function. For this new polynomial family, we present explicit representation, recurrence relation, lowering and raising operators, differential equation, determinant representation and some other properties.
Zeynep Özat, Bayram Çekim, Mehmet Ali Özarslan   +2 more
openaire   +3 more sources

An efficient numerical method for fractional order nonlinear two-point boundary value problem occurring in chemical reactor theory

Alexandria Engineering Journal
This paper is focused on computing an approximate numerical solution of the strongly nonlinear multi-order fractional version (SNMOFV) of a BVP that appears in the theory of chemical reactors.
Devendra Kumar, Hunney Nama, Dumitru Baleanu   +2 more
doaj   +1 more source

Dual series equations involving generalized Laguerre polynomials

International Journal of Mathematics and Mathematical Sciences, 2005
An exact solution is obtained for the dual series equations involving generalized Laguerre polynomials.
B. M. Singh, J. Rokne, R. S. Dhaliwal
doaj   +1 more source

On a class of polynomials connected to Bell polynomials

, 2018
In this paper, we study a class of sequences of polynomials linked to the sequence of Bell polynomials. Some sequences of this class have applications on the theory of hyperbolic differential equations and other sequences generalize Laguerre polynomials ...
Mihoubi, Miloud, Sahari, Madjid
core  

The relativistic Laguerre polynomials

Rendiconti di Matematica e delle Sue Applicazioni, 1996
The main topic, in the opinion of the reviewer, is found in the last part of the recent paper: the polynomials considered here are not new, as the author calls them, they are special cases of the well known Jacobi polynomials, and consequently all properties derived in the paper (representation by hypergeometric functions, explicit polynomial ...
openaire   +3 more sources

Cauchy Problem of the non-self-adjoint Gauss-Laguerre semigroups and uniform bounds of generalized Laguerre polynomials

, 2016
We propose a new approach to construct the eigenvalue expansion in a weighted Hilbert space of the solution to the Cauchy problem associated to Gauss-Laguerre invariant Markov semigroups that we introduce. Their generators turn out to be natural non-self-
Patie, Pierre, Savov, Mladen
core  

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  

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

Generalizations of Laguerre polynomials

Journal of Mathematical Analysis and Applications, 1990
The main aim of the author is to show that the constants \(A_ 0,A_ 1,\dots,A_{N+1}\) can appropriately be chosen such that the polynomials \[ L_ n^{\alpha,M_ 0,M_ 1,\dots,M_ n}(x)=\sum_{k=0}^{N+1} A_ k D^ k L_ n^{(\alpha)}(x); \qquad \alpha>-1; \quad n=0,1,\dots \leqno(*) \] constitute an orthogonal set with respect to the following inner product ...
openaire   +2 more sources

The Double Dyson Index β Effect in Non-Hermitian Tridiagonal Matrices. [PDF]

Entropy (Basel), 2023
Goulart CA, Pato MP.
europepmc   +1 more source