Results 41 to 50 of about 411,141 (342)
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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A NOTE FOR THE DUNKL-CLASSICAL POLYNOMIALS
Проблемы анализа, 2022 In this paper, we give a new characterization for the Dunkl-classical orthogonal polynomials. The previous characterization has been illustrated by some examples.
Y. Habbachi, B. Bouras
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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
Average characteristic polynomials for multiple orthogonal polynomial ensembles [PDF]
, 2009 Multiple orthogonal polynomials (MOP) are a non-definite version of matrix orthogonal polynomials. They are described by a Riemann-Hilbert matrix Y consisting of four blocks Y_{1,1}, Y_{1,2}, Y_{2,1} and Y_{2,2}.
Delvaux, Steven
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Connecting Exceptional Orthogonal Polynomials of Different Kind [PDF]
J. Math. Phys. 65 (2024) 043501, 12 pages, 2023 The known asymptotic relations interconnecting Jacobi, Laguerre, and Hermite classical orthogonal polynomials are generalized to the corresponding exceptional orthogonal polynomials of codimension $m$. It is proved that $X_m$-Laguerre exceptional orthogonal polynomials of type I, II, or III can be obtained as limits of $X_m$-Jacobi exceptional ...
arxiv
Higher order matching polynomials and d-orthogonality [PDF]
, 2009 We show combinatorially that the higher-order matching polynomials of several families of graphs are d-orthogonal polynomials. The matching polynomial of a graph is a generating function for coverings of a graph by disjoint edges; the higher-order ...
Drake, Dan
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Extensions of discrete classical orthogonal polynomials beyond the orthogonality
Journal of Computational and Applied Mathematics, 2009 It is well known that the family of Hahn polynomials $\{h_n^{ , }(x;N)\}_{n\ge 0}$ is orthogonal with respect to a certain weight function up to $N$. In this paper we present a factorization for Hahn polynomials for a degree higher than $N$ and we prove that these polynomials can be characterized by a $ $-Sobolev orthogonality.
Costas-Santos, Roberto S. +1 more
openaire +4 more sources
Integrable systems on the lattice and orthogonal polynomials of discrete variable [PDF]
, 2003 Some particular examples of classical and quantum systems on the lattice are solved with the help of orthogonal polynomials and its connection to continuous models are explored.Comment: LaTeX, 10 pages, Comunication presented to the 6th International ...
Lorente, M.
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On an system of “classical” polynomials of simultaneous orthogonality
Journal of Computational and Applied Mathematics, 1996 AbstractWe introduce a system of “classical” polynomials of simultaneous orthogonality, study the differential equation of third order, recurrence relation and precise the ratio asymptotic and zeros distribution of polynomials.
André Ronveaux, V. Kaliaguine
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