Results 41 to 50 of about 132,731 (333)
A Dunkl-classical d-symmetric d-orthogonal polynomial set [PDF]
Rendiconti di Matematica e delle Sue Applicazioni, 2010 In this paper, we apply a d-orthogonality preserving operator to the Humbert polynomials to derive a new Dunkl-classical d-orthogonal polynomials generalizing the Humbert ones.
Y. Ben Cheikh, M. Gaied
doaj
Representing by Orthogonal Polynomials for Sums of Finite Products of Fubini Polynomials
Mathematics, 2019 In the classical connection problem, it is dealt with determining the coefficients in the expansion of the product of two polynomials with regard to any given sequence of polynomials.
Dae San Kim +3 more
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On some Sobolev spaces with matrix weights and classical type Sobolev orthogonal polynomials [PDF]
Journal of difference equations and applications (Print), 2020 For every system of OPRL or OPUC, we construct Sobolev orthogonal polynomials , with explicit integral representations involving . Two concrete families of Sobolev orthogonal polynomials (depending on an arbitrary number of complex parameters) which are ...
S. Zagorodnyuk
semanticscholar +1 more source
On an system of “classical” polynomials of simultaneous orthogonality
Journal of Computational and Applied Mathematics, 1996 Let \(Q_{\overline n}(x)\), \(\overline n=(n_1,n_2)\), be the system of polynomials of simultaneous orthogonality [see \textit{E. M. Nikishin} and \textit{V. N. Sorokin}: ``Rational approximations and orthogonality'' (Russian orig. 1988; Zbl 0718.41002; Engl. transl. 1991; Zbl 0733.41001)] with \(\Delta_1=[a;0]\), \(\Delta_2=[0;1] (-1\leq a-1)\).
André Ronveaux, V. Kaliaguine
openaire +3 more sources
Determinant inequalities for sieved ultraspherical polynomials
International Journal of Mathematics and Mathematical Sciences, 2001 Paul Turan first observed that the Legendre polynomials satisfy the inequality Pn2(x)−Pn−1(x)Pn(x)>0 ...
J. Bustoz, I. S. Pyung
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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
core +1 more source
, 2005 The equilibrium positions of the multi-particle classical Calogero-Sutherland-Moser (CSM) systems with rational/trigonometric potentials associated with the classical root systems are described by the classical orthogonal polynomials; the Hermite ...
Odake, S., Sasaki, R.
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A Survey on q-Polynomials and their Orthogonality Properties [PDF]
, 2010 In this paper we study the orthogonality conditions satisfied by the classical q-orthogonal polynomials that are located at the top of the q-Hahn tableau (big q-jacobi polynomials (bqJ)) and the Nikiforov-Uvarov tableau (Askey-Wilson polynomials (AW ...
Alfaro +21 more
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On a new characterization of the classical orthogonal polynomials
Journal of Approximation Theory, 1992 The truncated and reversed measure \(\mu_ n^ R\) is defined on \([0;1]\), \([0;\infty)\), or \((-\infty;\infty)\) as a measure corresponding to \((2n- 1)\)-th approximant of a \(g\)-fraction, \(n\)-th approximant of a modified \(S\)-fraction, or \(n\)-th approximant of a \(J\)-fraction correspondingly [see \textit{W. B. Jones} and \textit{W.J.
Holger Dette, W. J. Studden
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Discrete semi-classical orthogonal polynomials of class one on quadratic lattices
Journal of difference equations and applications (Print), 2018 We study orthogonal polynomials on quadratic lattices with respect to Stieltjes functions, S, that satisfy a difference equation where A is a polynomial of degree less or equal than 3 and C is a polynomial of degree greater or equal than 1 and less or ...
G. Filipuk, M. N. Rebocho
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