Results 101 to 110 of about 148,379 (206)

Inequalities for orthonormal Laguerre polynomials

Journal of Approximation Theory, 2007
The following inequality is established: \[ 10^{-8}
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n-Kernel orthogonal polynomials on the Dirichlet, Dirichlet-Multinomial, Poisson-Dirichlet and Ewens sampling distributions, and positive-definite sequences [PDF]

, 2010
We consider a multivariate version of the so-called Lancaster problem of characterizing canonical correlation coe±cients of symmetric bivariate distributions with identical marginals and orthogonal polynomial expansions.
Spanò, Dario, Griffiths, Robert C.
core  

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
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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

Multivariate Jacobi and Laguerre polynomials, infinite-dimensional extensions, and their probabilistic connections with multivariate

, 2008
Multivariate versions of classical orthogonal polynomials such as Jacobi, Hahn, Laguerre, Meixner are reviewed and their connection explored by adopting a probabilistic approach.
Meixner Polynomials
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A limit relationship between laguerre and hermit polynomials

, 2010
The authors prove a generalization of a limit relationship between the Laguerre and the Hermite polynomials. The demonstration, which is presented in this article in the general case, differs markedly from each of the earlier proofs given for the known ...
Chen, Kung-yu; Srivastavam, H. M.
core  

On q-Laguerre Polynomials [PDF]

, 2009
In this paper, we study a q-analogue of Laguerre polynomials.
小鉢 暢夫
core  

Bounds for zeros of the Laguerre polynomials

Journal of Approximation Theory, 2003
The author shows that the least and largest zeros \(x_1, x_n\) of the Laguerre polynomial \(L_n ^{(\alpha)}(x)\) satisfies \[ x_1 > s-r + {(s-r)^{2/3} \over 2r^{1/3}} \] \[ x_n < s+r + {(s+r)^{2/3} \over 2r^{1/3}} \] with \[ s=2n+ \alpha +1, \;r= \sqrt{4n^2 +(2n-1)(2 \alpha +2)} \] provided \(n\geq 7, \alpha \geq 8\).
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On a set of polynomials suggested by Laguerre polynomials [PDF]

Pacific Journal of Mathematics, 1970
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