Results 101 to 110 of about 14,680 (235)

Quadratic decomposition of a Laguerre-Hahn polynomial sequence I

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2010
Let \(P_n\) and \(B_n\) be sequences of monic orthogonal polynomials such that \(B_{2n}(x)=P_n(x^2)\) for all \(n\geq0\). In the present paper, the authors prove that, if one of the sequences is a Laguerre-Hahn orthogonal polynomial sequence, then so is the other.
Bouras, B., Marcellan, F.
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A Discrete Cramér–Von Mises Statistic Related to Hahn Polynomials with Application to Goodness-of-Fit Testing for Hypergeometric Distributions

Axioms
We give the Karhunen–Loève expansion of the covariance function of a family of discrete weighted Brownian bridges, appearing as discrete analogues of continuous Gaussian processes related to Cramér –von Mises and Anderson–Darling statistics. This analogy
Jean-Renaud Pycke
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Convolutions for orthogonal polynomials from Lie and quantum algebra representations

, 1996
The interpretation of the Meixner-Pollaczek, Meixner and Laguerre polynomials as overlap coefficients in the positive discrete series representations of the Lie algebra su(1,1) and the Clebsch-Gordan decomposition leads to generalisations of the ...
Koelink, H. T., Van der Jeugt, J.
core   +1 more source

Multidimensional Hahn polynomials, intertwining functions on the\n symmetric group and Clebsch-Gordan coefficients [PDF]

, 2008
Fabio Scarabotti
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On the Orthogonality of q-Classical Polynomials of the Hahn Class

Symmetry, Integrability and Geometry: Methods and Applications, 2012
The central idea behind this review article is to discuss in a unified sense the orthogonality of all possible polynomial solutions of the q-hypergeometric difference equation on a q-linear lattice by means of a qualitative analysis of the q-Pearson ...
Renato Álvarez-Nodarse, Rezan Sevinik Adıgüzel, Hasan Taşeli   +2 more
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Moments of generalized Cauchy random matrices and continuous-Hahn polynomials

, 2021
Theodoros Assiotis, Benjamin Bedert, Mustafa Alper Gunes, Arun Soor   +3 more
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Discrete Bernstein bases and Hahn polynomials

Journal of Computational and Applied Mathematics, 1993
Hahn polynomials are orthogonal with respect to a discrete scalar product. The paper investigates the representation of Hahn polynomials in discrete Bernstein bases of various degree defined on different intervals of integers. Basic tools are degree evaluation and subdivision algorithms.
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From sl_q(2) to a Parabosonic Hopf Algebra

Symmetry, Integrability and Geometry: Methods and Applications, 2011
A Hopf algebra with four generators among which an involution (reflection) operator, is introduced. The defining relations involve commutators and anticommutators. The discrete series representations are developed.
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov   +2 more
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Exceptional Hahn and Jacobi orthogonal polynomials

Journal of Approximation Theory, 2017
arXiv admin note: substantial text overlap with arXiv:1310.4658, arXiv:1309 ...
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An accurate numerical scheme for three-dimensional variable-order time-fractional partial differential equations in two types of space domains

Mathematical Modelling and Analysis
We consider the discretization method for solving three-dimensional variable-order (3D-VO) time-fractional partial differential equations. The proposed method is developed based on discrete shifted Hahn polynomials (DSHPs) and their operational matrices.
Haniye Dehestani, Yadollah Ordokhani, Mohsen Razzaghi   +2 more
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