Results 51 to 60 of about 148,379 (206)
Two Efficient Generalized Laguerre Spectral Algorithms for Fractional Initial Value Problems
Abstract and Applied Analysis, 2013 We present a direct solution technique for approximating linear multiterm fractional differential equations (FDEs) on semi-infinite interval, using generalized Laguerre polynomials.
D. Baleanu, A. H. Bhrawy, T. M. Taha
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Monotonicity of zeros of Laguerre polynomials
Journal of Computational and Applied Mathematics, 2009 Monotonicity, with respect to a parameter, of certain functions involving the zeros \(x_{nk}(\alpha)\) of the Laguerre polynomial \(L_n^{(\alpha)}(x)\) is studied. It is assumed that the zeros are arranged in decreasing order and it is proved that for any \( n \geq 2\) and \(k=1,\dots,n\), the quantities \[ \frac{x_{nk}(\alpha)-(2n+\alpha-1)}{\sqrt{2(n+
Dimitar K. Dimitrov 0001 +1 more
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International Journal for Numerical Methods in Fluids, Volume 98, Issue 10, Page 1143-1164, October 2026.This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro +2 more
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Large degree asymptotics of orthogonal polynomials with respect to an oscillatory weight on a bounded interval [PDF]
, 2014 We consider polynomials p^w_n(x) that are orthogonal with respect to the oscillatory weight w(x)=exp(iwx) on [?1,1], where w>0 is a real parameter. A first analysis of p^?_n(x) for large values of w was carried out in connection with complex Gaussian ...
Deaño Cabrera, Alfredo, Deaño, Alfredo
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Communications on Pure and Applied Mathematics, Volume 79, Issue 9, Page 2107-2157, September 2026.ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
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Spatial signatures of group cohesion
Methods in Ecology and Evolution, Volume 17, Issue 9, Page 2755-2769, September 2026.Abstract Wildlife populations are undergoing unprecedented changes to their spatial distributions as a result of human activities. Innovative approaches are needed to document these changes, especially in cases where sampling is sparse. Here, we contribute to the tools available in spatial ecology by developing novel metrics based on the coefficient of
Nicola E. Love, Sarah P. Otto
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On Appell-Laguerre polynomials [PDF]
, 1993 In this note we give a digest study of Appell-Laguerre polynomials, we provide a recurrence relation and a second-order differential equation satisfied by these polynomials.
Belmehdi, S.
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A Study of Generalized Laguerre Poly-Genocchi Polynomials
Mathematics, 2019 A variety of polynomials, their extensions, and variants, have been extensively investigated, mainly due to their potential applications in diverse research areas.
Nabiullah Khan +2 more
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The Combinatorics of Associated Laguerre Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2015 The explicit double sum for the associated Laguerre polynomials is derived combinatorially. The moments are described using certain statistics on permutations and permutation tableaux. Another derivation of the double sum is provided using only the moment generating function.
Kim, J.S., Stanton, D.
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Edge Density Expansions for the Classical Gaussian and Laguerre Ensembles
Studies in Applied Mathematics, Volume 157, Issue 3, September 2026.ABSTRACT Recent work of Bornemann has uncovered hitherto hidden integrable structures relating to the asymptotic expansion of quantities at the soft edge of the Gaussian and Laguerre random matrix ensembles. These quantities are spacing distributions and the eigenvalue density, and the findings cover the cases of the three symmetry classes: orthogonal,
Peter J. Forrester +2 more
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