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Laguerre polynomials as Jensen polynomials of Laguerre–Pólya entire functions
Journal of Computational and Applied Mathematics, 2009 The question if there exist entire special functions whose Jensen polynomials are orthogonal is investigated. Let \(\varphi(x)\) be an entire function from the Laguerre-Pólya class \(\varphi\in\mathcal L\mathcal P\) [see \textit{G. Pólya}, Über die algebraisch-funktionentheoretischen Untersuchungen von J. L. W. Jensen.
Dimitrov, Dimitar Kolev +1 more
openaire +3 more sources
Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure [PDF]
, 2015 This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure for x in [0,?), ?
Alfredo Deaño +28 more
core +6 more sources
Construction of partially degenerate Laguerre-Genocchi polynomials with their applications
AIMS Mathematics, 2020 Various applications of degenerate polynomials in different areas call for the thoughtful study and research, and many extensions and variants can be found in the literature.
Talha Usman +4 more
doaj +1 more source
Dispersion Estimates for the Discrete Laguerre Operator [PDF]
, 2016 We derive an explicit expression for the kernel of the evolution group $\exp(-\mathrm{i} t H_0)$ of the discrete Laguerre operator $H_0$ (i.e. the Jacobi operator associated with the Laguerre polynomials) in terms of Jacobi polynomials.
Kostenko, Aleksey, Teschl, Gerald
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Some Integrals Involving q-Laguerre Polynomials and Applications
Abstract and Applied Analysis, 2013 The integrals involving multivariate q-Laguerre polynomials and then auxiliary ones are studied. In addition, the representations of q-Hermite polynomials by q-Laguerre polynomials and their related integrals are given.
Jian Cao
doaj +1 more source
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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Abstract and Applied Analysis, 2013 This paper deals with modified generalized Laguerre spectral tau and collocation methods for solving linear and nonlinear multiterm fractional differential equations (FDEs) on the half line.
D. Baleanu, A. H. Bhrawy, T. M. Taha
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Recurrence Relations of the Multi-Indexed Orthogonal Polynomials : III [PDF]
, 2016 In a previous paper, we presented conjectures of the recurrence relations with constant coefficients for the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson and Askey-Wilson types.
Odake, Satoru
core +3 more sources
Inequalities for Laguerre functions
Journal of Inequalities and Applications, 1997 The main published inequality for Laguerre functions Lvμ(z) seems to be for Laguerre polynomials Ln0(x) only; it is [2: 10.18(3)]: |Ln(x)|≤ex/2  for  x>0.This paper presents several inequalities for Laguerre polynomials Lnμ(x) and ...
E. R. Love
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Hermite and Laguerre Symmetric Functions Associated with Operators of Calogero-Moser-Sutherland Type [PDF]
, 2011 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.
Desrosiers, Patrick, Hallnäs, Martin
core +7 more sources