Results 101 to 110 of about 126,262 (211)
, 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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, 2018 The article aims to explore some new classes of differential equations and associated integral equations for some hybrid families of Laguerre polynomials.
Subuhi Khan +2 more
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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.
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On the Galois group of Generalised Laguerre polynomials II
, 2020 For real number $\alpha,$ Generalised Laguerre Polynomials (GLP) is a family of polynomials defined by$$L_n^{(\alpha)}(x)=(-1)^n\displaystyle\sum_{j=0}^{n}\binom{n+\alpha}{n-j}\frac{(-x)^j}{j!}.$$These orthogonal polynomials are extensively studied in ...
G. Nair, Saranya +5 more
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Alexandria Engineering JournalThis 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 +2 more
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The orthogonality of laguerre polynomials and related problems
, 2010 碩士此論文主要是研究與Laguerre多項式序列相關之正交性問題。The main course of the thesis is researching the related orthogonal problems of Laguerre polynomials.第一章 前言及預備知識...............................1 1.1 定義及基本性質...........................1 1.2 生成函數（Generating ...
陳天霖; Chen, Tien-lin
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Laguerre Polynomials, an Introduction
, 2006 The radial part of the Schrodinger Equation for the H-atom\u27s electron involves Laguerre polynomials, hence this ...
David, Carl W
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A note on certain operational representations for the Laguerre polynomials
, 1989 Several independent proofs are given for certain interesting operational representations for the classical Laguerre polynomials. At least one of the proofs presented for each result is based upon some rather elementary derivative formulas for the ...
Srivastava, H.M
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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 \(n\geq 7, \alpha \geq 8\).
openaire +1 more source
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
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