Results 41 to 50 of about 2,254 (120)
Koornwinder polynomials and the stationary multi-species asymmetric exclusion process with open boundaries [PDF]
Journal of Physics A: Mathematical and Theoretical, 2016 25 ...
Luigi Cantini +3 more
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Some Transformation Formulas Associated with Askey–Wilson Polynomials and Lassalle’s Formulas for Macdonald–Koornwinder Polynomials [PDF]
Moscow Mathematical Journal, 2015 We present a fourfold series expansion representing the Askey-Wilson polynomials. To obtain the result, a sequential use is made of several summation and transformation formulas for the basic hypergeometric series, including the Verma's q-extension of the Field and Wimp expansion, Andrews' terminating q-analogue of Watson's 3F2 sum, Singh's quadratic ...
Ayumu Hoshino +2 more
openalex +5 more sources
Quantum Integrals for a Semi-Infinite $q$-Boson System with Boundary Interactions [PDF]
, 2015 We provide explicit formulas for the quantum integrals of a semi-infinite $q$-boson system with boundary interactions. These operators and their commutativity are deduced from the Pieri formulas for a $q\to 0$ Hall-Littlewood type degeneration of the ...
Emsiz, Erdal, van Diejen, Jan Felipe
core +1 more source
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
Some details of proofs of theorems related to the quantum dynamical Yang‐Baxter equation
International Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 12, Page 793-806, 2000., 2000 This paper of tutorial nature gives some further details of proofs of some theorems related to the quantum dynamical Yang‐Baxter equation. This mainly expands proofs given in “Lectures on the dynamical Yang‐Baxter equation” by Etingof and Schiffmann, math.QA/9908064.
Tom H. Koornwinder
wiley +1 more source
Differential representations of dynamical oscillator symmetries in discrete Hilbert space
Discrete Dynamics in Nature and Society, Volume 5, Issue 2, Page 97-106, 2000., 2000 As a very important example for dynamical symmetries in the context of q‐generalized quantum mechanics the algebra aa† − q−2a†a = 1 is investigated. It represents the oscillator symmetry SUq(1, 1) and is regarded as a commutation phenomenon of the q‐Heisenberg algebra which provides a discrete spectrum of momentum and space, i.e., a discrete Hilbert ...
Andreas Ruffing
wiley +1 more source
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
core +4 more sources
Wavelet transforms in generalized Fock spaces
International Journal of Mathematics and Mathematical Sciences, Volume 20, Issue 4, Page 657-672, 1997., 1996 A generalized Fock space is introduced as it was developed by Schmeelk [1‐5], also Schmeelk and Takači [6‐8]. The wavelet transform is then extended to this generalized Fock space. Since each component of a generalized Fock functional is a generalized function, the wavelet transform acts upon the individual entry much the same as was developed by ...
John Schmeelk, Arpad Takači
wiley +1 more source
On differential equations for Sobolev-type Laguerre polynomials
, 1998 We obtain all spectral type differential equations satisfied by the Sobolev-type Laguerre polynomials. This generalizes the results found in 1990 by the first and second author in the case of the generalized Laguerre polynomials defined by T.H ...
Bavinck, H., Koekoek, J., Koekoek, R.
core +2 more sources
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
core +2 more sources