Results 21 to 30 of about 18,676 (205)
Products of Laguerre Polynomials [PDF]
Mathematics of Computation, 1960 and, in particular, is symmetric in r, s, t. A closed formula has been obtained for Cry by Watson [41. We begin by obtaining the same formula by a very simple argument. In ? wce (lerive a simple recurrence relation suitable for rapidly generating the coefficients as needed when working with a high speed computing machine.
Gillis, J., Weiss, G.
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The Extended Laguerre Polynomials Aq,nαx Involving Fqq,q>2
Journal of Function Spaces, 2022 In this paper, for the proposed extended Laguerre polynomials Aαq,nx, the generalized hypergeometric function of the type Fqq,q>2 and extension of the Laguerre polynomial are introduced.
Adnan Khan +3 more
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Generalized Burchnall-Type Identities for Orthogonal Polynomials and Expansions [PDF]
, 2018 Burchnall's method to invert the Feldheim-Watson linearization formula for the Hermite polynomials is extended to all polynomial families in the Askey-scheme and its $q$-analogue.
Ismail, Mourad E. H. +2 more
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A note on degenerate generalized Laguerre polynomials and Lah numbers
Advances in Difference Equations, 2021 The aim of this paper is to introduce the degenerate generalized Laguerre polynomials as the degenerate version of the generalized Laguerre polynomials and to derive some properties related to those polynomials and Lah numbers, including an explicit ...
Taekyun Kim +4 more
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Certain Hybrid Matrix Polynomials Related to the Laguerre-Sheffer Family
Fractal and Fractional, 2022 The main goal of this article is to explore a new type of polynomials, specifically the Gould-Hopper-Laguerre-Sheffer matrix polynomials, through operational techniques.
Tabinda Nahid, Junesang Choi
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Some relations on Humbert matrix polynomials [PDF]
Mathematica Bohemica, 2016 The Humbert matrix polynomials were first studied by Khammash and Shehata (2012). Our goal is to derive some of their basic relations involving the Humbert matrix polynomials and then study several generating matrix functions, hypergeometric matrix ...
Ayman Shehata
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Fractal and Fractional, 2021 This article has a motive to derive a new class of differential equations and associated integral equations for some hybrid families of Laguerre–Gould–Hopper-based Sheffer polynomials.
Naeem Ahmad +4 more
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Проблемы анализа, 2019 In this paper, we introduce the notion of Oε-classical orthogonal polynomials, where Oε := I + εD (ε 6= 0). It is shown that the scaled Laguerre polynomial sequence {a −nL (α) n (ax)}n>0, where a = −ε −1 , is actually the only Oε-classical ...
B. Aloui, L. Kheriji
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Multivariate Jacobi and Laguerre polynomials, infinite-dimensional extensions, and their probabilistic connections with multivariate Hahn and Meixner polynomials [PDF]
, 2011 Multivariate versions of classical orthogonal polynomials such as Jacobi, Hahn, Laguerre, Meixner are reviewed and their connection explored by adopting a probabilistic approach.
Griffiths, Robert C., Spanò, Dario
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Fourier coefficients for Laguerre–Sobolev type orthogonal polynomials [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this paper, the authors take the first step in the study of constructive methods by using Sobolev polynomials. Design/methodology/approach – To do that, the authors use the connection formulas between Sobolev polynomials and classical ...
Alejandro Molano
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