Geodesic
\(q\)-orthogonal polynomials related to the quantum group \(U_q(\mathfrak {so}(5))\)
Electronic transactions on numerical analysis, Tome 24 (2006), pp. 74-78
Orthogonal polynomials in two discrete variables related to finite-dimensional irreducible representations of the quantum algebra are studied. The polynomials we consider here can be treated as ! $\copyright $" #%$\"('\%){\S}) two-dimensional -analogs of Krawtchouk polynomials. Some properties of these polynomials are investigated: the 0 difference equation of the Sturm-Liouville type, the weight function, the corresponding eigenvalues including the explicit description of their multiplicities.$
Classification : 33D80, 33C45
Keywords: quantum group, discrete orthogonal polynomials, eigenvalues 
@article{ETNA_2006__24__a5,
     author = {Rozenblyum,  Alexander},
     title = {\(q\)-orthogonal polynomials related to the quantum group {\(U_q(\mathfrak} {so}(5))\)},
     journal = {Electronic transactions on numerical analysis},
     pages = {74--78},
     year = {2006},
     volume = {24},
     zbl = {1107.33021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__24__a5/}
}
TY  - JOUR
AU  - Rozenblyum,  Alexander
TI  - \(q\)-orthogonal polynomials related to the quantum group \(U_q(\mathfrak {so}(5))\)
JO  - Electronic transactions on numerical analysis
PY  - 2006
SP  - 74
EP  - 78
VL  - 24
UR  - http://geodesic.mathdoc.fr/item/ETNA_2006__24__a5/
LA  - en
ID  - ETNA_2006__24__a5
ER  - 
%0 Journal Article
%A Rozenblyum,  Alexander
%T \(q\)-orthogonal polynomials related to the quantum group \(U_q(\mathfrak {so}(5))\)
%J Electronic transactions on numerical analysis
%D 2006
%P 74-78
%V 24
%U http://geodesic.mathdoc.fr/item/ETNA_2006__24__a5/
%G en
%F ETNA_2006__24__a5
Rozenblyum,  Alexander. \(q\)-orthogonal polynomials related to the quantum group \(U_q(\mathfrak {so}(5))\). Electronic transactions on numerical analysis, Tome 24 (2006), pp. 74-78. http://geodesic.mathdoc.fr/item/ETNA_2006__24__a5/