Representations of Lie groups and special functions
AU Klimyk, NY Vilenkin - Representation Theory and Noncommutative …, 1995 - Springer
At first only elementary functions were studied in mathematical analysis. Then new functions
were introduced to evaluate integrals. They were named special functions: integral sine …
were introduced to evaluate integrals. They were named special functions: integral sine …
The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
R Koekoek, RF Swarttouw - arxiv preprint math/9602214, 1996 - arxiv.org
We list the so-called Askey-scheme of hypergeometric orthogonal polynomials. In chapter 1
we give the definition, the orthogonality relation, the three term recurrence relation and …
we give the definition, the orthogonality relation, the three term recurrence relation and …
[PDF][PDF] The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue
R Koekoek, RF Swarttouw - 1994 - phru8648.praha12.net
We list the so-called Askey-scheme of hypergeometric orthogonal polynomials and we give
a qanalogue of this scheme containing basic hypergeometric orthogonal polynomials. In …
a qanalogue of this scheme containing basic hypergeometric orthogonal polynomials. In …
Askey-Wilson polynomials for root systems of type BC
TH Koornwinder - Contemp. Math, 1992 - books.google.com
This paper introduces a family of Askey-Wilson type orthogonal polynomials in n variables
associated with a root system of type BC m. The family depends, apart from q, on 5 …
associated with a root system of type BC m. The family depends, apart from q, on 5 …
Macdonald's symmetric polynomials as zonal spherical functions on some quantum homogeneous spaces
M Noumi - arxiv preprint math/9503224, 1995 - arxiv.org
Quantum analogues of the homogeneous spaces $\GL (n)/\SO (n) $ and $\GL (2n)/\Sp (2n) $
are introduced. The zonal spherical functions on these quantum homogeneous spaces are …
are introduced. The zonal spherical functions on these quantum homogeneous spaces are …
Askey–Wilson Polynomials as Zonal Spherical Functions on the Quantum Group
TH Koornwinder - SIAM journal on mathematical analysis, 1993 - SIAM
On the SU(2) quantum group the notion of (zonal) spherical element is generalized by
considering left and right invariance in the infinitesimal sense with respect to twisted …
considering left and right invariance in the infinitesimal sense with respect to twisted …
Quantum symmetric spaces and related q-orthogonal polynomials
M Noumi, T Sugitani - arxiv preprint math/9503225, 1995 - arxiv.org
arxiv:math/9503225v1 [math.QA] 27 Mar 1995 Page 1 arxiv:math/9503225v1 [math.QA] 27
Mar 1995 To appear in: Proceedings of the XXth International Colloquium on Group …
Mar 1995 To appear in: Proceedings of the XXth International Colloquium on Group …
Askey-Wilson polynomials and the quantum SU (2) group: survey and applications
HT Koelink - Acta Applicandae Mathematica, 1996 - Springer
Generalised matrix elements of the irreducible representations of the quantum SU (2) group
are defined using certain orthonormal bases of the representation space. The generalised …
are defined using certain orthonormal bases of the representation space. The generalised …
A family of quantum projective spaces and related 𝑞-hypergeometric orthogonal polynomials
M Dijkhuizen, M Noumi - Transactions of the American Mathematical …, 1998 - ams.org
A one-parameter family of two-sided coideals in $\mathcal {U} _ {q}(\mathfrak {g}\mathfrak
{l}(n)) $ is defined and the corresponding algebras of infinitesimally right invariant functions …
{l}(n)) $ is defined and the corresponding algebras of infinitesimally right invariant functions …
The quantum group of plane motions and the Hahn-Exton -Bessel function
HT Koelink - 1994 - projecteuclid.org
1. Introduction. It is generally expected that quantum groups, originally introduced by
Drinfeld 1-43, Jimbo 1-83, and Woronowicz i-393, provide a natural setting for special …
Drinfeld 1-43, Jimbo 1-83, and Woronowicz i-393, provide a natural setting for special …