Results 1 to 10 of about 40,478 (197)
Asymptotic zero distribution of Jacobi-Pi\~neiro and multiple Laguerre polynomials
, 2016 We give the asymptotic distribution of the zeros of Jacobi-Pi\~neiro polynomials and multiple Laguerre polynomials of the first kind. We use the nearest neighbor recurrence relations for these polynomials and a recent result on the ratio asymptotics of ...
Neuschel, Thorsten, Van Assche, Walter
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International Journal of Contemporary Mathematical Sciences, 2014 In this paper, with the help of generalized hypergeometric functions of the type 4 2 F , an extension of the Jacobi polynomials is established and a number of generating functions similar to those of classical Jacobi polynomials have been proved.
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Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
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Symmetry, Integrability and Geometry: Methods and Applications, 2009 New exactly solvable rationally-extended radial oscillator and Scarf I potentials are generated by using a constructive supersymmetric quantum mechanical method based on a reparametrization of the corresponding conventional superpotential and on the ...
Christiane Quesne
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ON CUBATURE RULES ASSOCIATED TO WEYL GROUP ORBIT FUNCTIONS
Acta Polytechnica, 2016 The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems.
Lenka Háková +2 more
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ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 4, April 2026.ABSTRACT The Lie group SE3$SE\left(3\right)$ of isometric orientation‐preserving transformation is used for modeling multibody systems, robots, and Cosserat continua. The use of these models in numerical simulation and optimization schemes necessitates the exponential map, its right‐trivialized differential (often referred to as the tangent operator ...
Andreas Müller
wiley +1 more source
Spectral analysis for the exceptional Xm-Jacobi equation
Electronic Journal of Differential Equations, 2015 We provide the mathematical foundation for the $X_m$-Jacobi spectral theory. Namely, we present a self-adjoint operator associated to the differential expression with the exceptional $X_m$-Jacobi orthogonal polynomials as eigenfunctions.
Constanze Liaw +2 more
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Equidistribution of points in the harmonic ensemble for the Wasserstein distance
Mathematika, Volume 72, Issue 2, April 2026.Abstract We study the asymptotics of the expected Wasserstein distance between the empirical measure of a point process and the background volume form. The main determinantal point process studied is the harmonic ensemble, where we get the optimal rate of convergence for homogeneous manifolds of dimension d⩾3$d\geqslant 3$, and for two‐point ...
Pablo García Arias
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International Journal for Numerical Methods in Engineering, Volume 127, Issue 6, 30 March 2026.ABSTRACT The contribution deals with algebraic multigrid (AMG) based preconditioning methods for the iterative solution of a coupled linear system of equations arising in numerical simulations of failure of quasi‐brittle materials using generalized continuum approaches.
Nasser Alkmim +4 more
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Mathematics, 2018 This paper is concerned with representing sums of the finite products of Chebyshev polynomials of the second kind and of Fibonacci polynomials in terms of several classical orthogonal polynomials.
Taekyun Kim +3 more
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