Matrix product construction for Koornwinder polynomials and fluctuations of the current in the open ASEP [PDF]
Journal of Statistical Mechanics: Theory and Experiment, 2017 31 ...
Caley Finn, Matthieu Vanicat
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Representations for parameter derivatives of some Koornwinder polynomials in two variables
Journal of the Egyptian Mathematical Society, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rabıa Aktaş
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Asymmetric Simple Exclusion Process with Open Boundaries and Koornwinder Polynomials [PDF]
Annales Henri Poincaré, 2017 35 ...
Luigi Cantini
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Rhombic staircase tableaux and Koornwinder polynomials
Mathematische ZeitschriftIn this article we give a combinatorial formula for a certain class of Koornwinder polynomials, also known as Macdonald polynomials of type $\tilde{C}$. In particular, we give a combinatorial formula for the Koornwinder polynomials $K_λ = K_λ(z_1,\dots,z_N; a,b,c,d; q,t)$, where $λ= (1,\dots,1,0,\dots,0)$.
Sylvie Corteel +2 more
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Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2020 We present an explicit formula for the transition matrix $\mathcal{C}$ from the type $BC_n$ Koornwinder polynomials $P_{(1^r)}(x|a,b,c,d|q,t)$ with one column diagrams, to the type $BC_n$ monomial symmetric polynomials $m_{(1^{r})}(x)$. The entries of the matrix $\mathcal{C}$ enjoy a set of four terms recursion relations.
Ayumu Hoshino, Jun’ichi Shiraishi
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On a Differential Equation for Koornwinder's Generalized Laguerre Polynomials [PDF]
Proceedings of the American Mathematical Society, 1991 Koornwinder’s generalized Laguerre polynomials { L n α , N ( x ) } n = 0 ∞ \left \{ {L_n^{\alpha ,N}
Koekoek, J., Koekoek, R.
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Quadratic transformations for orthogonal polynomials in one and two variables [PDF]
, 2018 We discuss quadratic transformations for orthogonal polynomials in one and two variables. In the one-variable case we list many (or all) quadratic transformations between families in the Askey scheme or $q$-Askey scheme. In the two-variable case we focus,
Koornwinder, Tom H.
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The c-function expansion of a basic hypergeometric function associated to root systems [PDF]
, 2014 We derive an explicit c-function expansion of a basic hypergeometric function associated to root systems. The basic hypergeometric function in question was constructed as explicit series expansion in symmetric Macdonald polynomials by Cherednik in case ...
Gasper +11 more
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Galerkin approximations for the optimal control of nonlinear delay differential equations [PDF]
, 2017 Optimal control problems of nonlinear delay differential equations (DDEs) are considered for which we propose a general Galerkin approximation scheme built from Koornwinder polynomials.
Chekroun, Mickaël D. +2 more
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The dynamical U(n) quantum group
International Journal of Mathematics and Mathematical Sciences, Volume 2006, Issue 1, 2006., 2006 We study the dynamical analogue of the matrix algebra M(n), constructed from a dynamical R‐matrix given by Etingof and Varchenko. A left and a right corepresentation of this algebra, which can be seen as analogues of the exterior algebra representation, are defined and this defines dynamical quantum minor determinants as the matrix elements of these ...
Erik Koelink, Yvette Van Norden
wiley +1 more source