[PDF] Top 20 Computing $\exp(-\tau A)b$ with Laguerre polynomials
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Computing $\exp(-\tau A)b$ with Laguerre polynomials
... 5. Conclusion. Matrix exponential algorithms based on approximating exp( − τ t) by a suitable polynomial p(t) have several advantages. Because A only occurs in matrix-vector products, algorithms are matrix-free ... See full document
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Application of Laguerre Polynomials for Solving Infinite Boundary Integro-Differential Equations
... the Laguerre polynomials for the ...the Laguerre polynomials and approximate the function f (x) and also the kernel function k(x, t) by these polynomials and related operational ma- ... See full document
7
A method for fractional Volterra integro differential equations by Laguerre polynomials
... The main purpose of this study is to present an approximation method based on the Laguerre polynomials for fractional linear Volterra integro-differential equations. This method transforms the ... See full document
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Some identities on Bernoulli and Euler polynomials arising from the orthogonality of Laguerre polynomials
... Kim et al Advances in Difference Equations 2012, 2012 201 http //www advancesindifferenceequations com/content/2012/1/201 R ES EA RCH Open Access Some identities on Bernoulli and Euler polynomials ari[.] ... See full document
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Indirect Method for Optimal Control Problem Using Boubaker Polynomial Eman Hassan Ouda | Samaa Fuad Ibraheem | Imad Noah Ahmed Fahmi
... classical polynomials usually like, Hermite, Laguerre polynomials… etc, as the basis functions ...Boubaker polynomials have been used with the following procedure, ... See full document
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Some identities of Laguerre polynomials arising from differential equations
... It has been demonstrated that it is a fascinating idea to use differential equations asso- ciated with the generating function (or a slight variant of generating function) of special polynomials or numbers. ... See full document
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Multivariate Jacobi and Laguerre polynomials, infinite dimensional extensions, and their probabilistic connections with multivariate Hahn and Meixner polynomials
... Our representation in a sense completes Karlin and McGregor’s analysis, in terms of eigenfunctions, of the relationship existing between the r-type linear growth model (product of independent Laguerre ... See full document
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On the probability of positive definiteness in the gGUE via semi classical Laguerre polynomials
... semi-classical Laguerre polynomials, with weight w(x; λ, t) = x λ exp( − x 2 + tx), satisfy deformation equations (in t) that are closely related to the Painlev´e IV differential equation [8, 19, ... See full document
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On a Paper in Connection with the Derivation of Generating Functions Involving Laguerre Polynomials
... In this section of the present note, we have given some of our observations on the works 1.2 . At first, we would like to mention that the authors of the paper 1 perhaps fail to notice the work 4 in which the above ... See full document
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Supersymmetric Resolvent Based Fourier Transform
... is to deal with other unitary transforms, for example, the Hankel transform, whose eigenfunction is given by the Laguerre polynomials Using the resolvent for the corresponding Hamiltonia[r] ... See full document
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11. Integral type modification for $q- $Laguerre polynomials
... [a, b] contains two infinite sums, so some problems are encountered in deriving the q-analogues of some well- known integral inequalities which are used to compute order of approximation of linear positive ... See full document
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A 3-D Unconditionally Stable Laguerre-Rpim Meshless Method for Time-Domain Electromagnetic Computations
... weighted Laguerre polynomials are used to express field component and its ...of Laguerre polynomials the final scheme is unconditionally ... See full document
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Sums of finite products of Legendre and Laguerre polynomials
... In this paper, we considered the Fourier series expansions for functions associated with Legendre and Laguerre polynomials. In addition, by using a method other than Fourier series expansions, we were able ... See full document
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On 2 orthogonal polynomials of Laguerre type
... “classical” polynomials which are a natural extension of the classical Laguerre ...These polynomials have some properties anal- ogous to those satisfied by the classical Laguerre ... See full document
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8. Integral operators containing Sheffer polynomials
... monomial polynomials, Bell poly- nomials, Toscano polynomials and Laguerre polynomials and also obtain numerical error estimation by using Maple13 for getting new type ... See full document
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Relativistic Laguerre Polynomials and Splash Pulses
... relativistic Laguerre polynomials in terms of the proper Gauss hypergeometric function, deducible from ...order Laguerre-Lorentzian solutions of the wave ... See full document
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Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials
... of Laguerre 2D and Hermite 2D polynomials and for products of two Hermite 2D poly- nomials is ...two Laguerre 2D polynomials as in- termediate step to the generating function for products of ... See full document
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New Extension of Unified Family Apostol Type of Polynomials and Numbers
... Apostol-type polynomials and numbers based on results given in [1] ...these polynomials and obtain some relationships between the Jacobi polynomials, Laguerre polynomials, Hermite ... See full document
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Pseudo Laguerre Matrix Polynomials, Operational Identities and Quasi Monomiality
... matrix polynomials have become more important and some results in the theory of classical orthogonal polynomials have been ex- tended to orthogonal matrix polynomials see for instance ...matrix ... See full document
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Laguerre type Bell polynomials
... Bell polynomials [1] appear in different ...these polynomials have been applied even in many other contexts, such as the Blissard problem (see [20, page 46]), the representation of Lucas polynomials ... See full document
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