Results 1 to 10 of about 504,226 (184)
A note on degenerate generalized Laguerre polynomials and Lah numbers [PDF]
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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Exceptional Laguerre Polynomials [PDF]
Studies in Applied Mathematics, 2018 AbstractThe aim of this paper is to present the construction of exceptional Laguerre polynomials in a systematic way and to provide new asymptotic results on the location of the zeros. To describe the exceptional Laguerre polynomials, we associate them with two partitions.
Bonneux, Niels, Kuijlaars, Arno
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Nonlinear Engineering, 2019 Herein, three important theorems were stated and proved. The first relates the modified generalized Laguerre expansion coefficients of the derivatives of a function in terms of its original expansion coefficients; and an explicit expression for the ...
Doha E.H., Youssri Y.H.
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Laguerre-type Bell polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2006 We develop an extension of the classical Bell polynomials introducing the Laguerre-type version of this well-known mathematical tool. The Laguerre-type Bell polynomials are useful in order to compute the nth Laguerre-type derivatives of a composite ...
P. Natalini, P. E. Ricci
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Matrix Valued Laguerre Polynomials [PDF]
Trends in Mathematics, 2019 20 pages, to appear in Positivity and Noncommutative Analysis Festschrift in Honour of Ben de Pagter (eds. G. Buskes, M. de Jeu, P. Dodds, A. Schep, F. Sukochev, J. van Neerven and A. Wickstead)
Koelink, H.T., Roman, P.M.
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A method for fractional Volterra integro-differential equations by Laguerre polynomials
Advances in Difference Equations, 2018 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 integro-differential equation to a system of linear algebraic
Dilek Varol Bayram +1 more
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On a family of q-modified-Laguerre-Appell polynomials
Arab Journal of Basic and Applied SciencesThis paper aims to introduce a new class of special polynomials called q-modified Laguerre-Appell polynomials. Some definitions and concepts related to this class of polynomials, including generating function and series definition are explored.
Mohammed Fadel, Abdulghani Muhyi
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The Use of Generalized Laguerre Polynomials in Spectral Methods for Solving Fractional Delay Differential Equations. [PDF]
J Comput Nonlinear Dyn, 2013 Khader MM.
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Rational solutions of the fifth Painlevé equation. Generalized Laguerre polynomials [PDF]
Studies in applied mathematics (Cambridge), 2023 In this paper, rational solutions of the fifth Painlevé equation are discussed. There are two classes of rational solutions of the fifth Painlevé equation, one expressed in terms of the generalized Laguerre polynomials, which are the main subject of this
Peter A. Clarkson, C. Dunning
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Painlevé IV, Chazy II, and asymptotics for recurrence coefficients of semi‐classical Laguerre polynomials and their Hankel determinants [PDF]
Mathematical methods in the applied sciences, 2022 This paper studies the monic semi‐classical Laguerre polynomials based on previous work by Boelen and Van Assche, Filipuk et al., and Clarkson and Jordaan. Filipuk et al.
Chao Min, Yang Chen
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