Results 51 to 60 of about 2,254 (120)
Properties of some families of hypergeometric orthogonal polynomials in several variables
, 1996 Limiting cases are studied of the Koornwinder-Macdonald multivariable generalization of the Askey-Wilson polynomials. We recover recently and not so recently introduced families of hypergeometric orthogonal polynomials in several variables consisting of ...
van Diejen, Jan F.
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A nonsymmetric version of Okounkov's BC-type interpolation Macdonald polynomials [PDF]
, 2019 Symmetric and nonsymmetric interpolation Laurent polynomials are introduced with the interpolation points depending on $q$ and a $n$-tuple of parameters $\tau=(\tau_1,\ldots,\tau_n)$.
Disveld, Niels +2 more
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The Orthogonal Riesz Fractional Derivative
AxiomsThe aim of this paper is to extend the concept of the orthogonal derivative to provide a new integral representation of the fractional Riesz derivative. Specifically, we investigate the orthogonal derivative associated with Gegenbauer polynomials Cn(ν)(x)
Fethi Bouzeffour
doaj +1 more source
Skew Howe duality and limit shapes of Young diagrams
Journal of the London Mathematical Society, Volume 109, Issue 1, January 2024.Abstract We consider the skew Howe duality for the action of certain dual pairs of Lie groups (G1,G2)$(G_1, G_2)$ on the exterior algebra ⋀(Cn⊗Ck)$\bigwedge (\mathbb {C}^{n} \otimes \mathbb {C}^{k})$ as a probability measure on Young diagrams by the decomposition into the sum of irreducible representations. We prove a combinatorial version of this skew
Anton Nazarov +2 more
wiley +1 more source
Limit relations between $q$-Krall type orthogonal polynomials [PDF]
, 2006 In this paper, we consider a natural extension of several results related to Krall-type polynomials introducing a modification of a $q$-classical linear functional via the addition of one or two mass points. The limit relations between the $q$-Krall type
Bavinck +23 more
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On Koornwinder classical orthogonal polynomials in two variables
Journal of Computational and Applied Mathematics, 2012 AbstractIn 1975, Tom Koornwinder studied examples of two variable analogues of the Jacobi polynomials in two variables. Those orthogonal polynomials are eigenfunctions of two commuting and algebraically independent partial differential operators. Some of these examples are well known classical orthogonal polynomials in two variables, such as orthogonal
Miguel A. Piñar +2 more
openaire +2 more sources
Quantum dimensions and their non-Archimedean degenerations
, 2006 We derive explicit dimension formulas for irreducible $M_F$-spherical $K_F$-representations where $K_F$ is the maximal compact subgroup of the general linear group $GL(d,F)$ over a local field $F$ and $M_F$ is a closed subgroup of $K_F$ such that $K_F ...
Onn, Uri, Stokman, Jasper
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Generalized Shifted Chebyshev Koornwinder’s Type Polynomials: Basis Transformations [PDF]
Symmetry, 2018 Approximating continuous functions by polynomials is vital to scientific computing and numerous numerical techniques. On the other hand, polynomials can be characterized in several ways using different bases, where every form of basis has its advantages and power.
Mohammad A. AlQudah, Maalee N. AlMheidat
openaire +1 more source
, 2015 We place the hyperbolic quantum Ruijsenaars-Schneider system with an exponential Morse term on a lattice and diagonalize the resulting $n$-particle model by means of multivariate continuous dual $q$-Hahn polynomials that arise as a parameter reduction of
Emsiz, E., van Diejen, J. F.
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BC_n-symmetric polynomials [PDF]
, 2004 We consider two important families of BC_n-symmetric polynomials, namely Okounkov's interpolation polynomials and Koornwinder's orthogonal polynomials.
Rains, Eric M.
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