Q-analogues of some multivariable biorthogonal polynomials

Developments in Mathematics

Volumn 13, Issue , 2005, Pages 186-208

  Gasper, George ^a   Rahman, Mizan ^b  

^a NORTHWESTERN UNIVERSITY   (United States)

^b CARLETON UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845742792     PISSN: 13892177     EISSN: None     Source Type: Book Series    
DOI: 10.1007/0-387-24233-3_9     Document Type: Article

References (11)

1. Gasper, G. and Rahman, M. (1990). Basic Hypergeometric Series. Cambridge University Press, Cambridge.
2. Gasper, G. and Rahman, M. (2003). Some systems of multivariable orthogonal Askey- Wilson polynomials. This Proceedings.
3. Granovski Y Y. I. and Zhedanov, A. S. (1992). 'Twisted' Clebsch-Gordan coefficients for su,(2). J. Phys. A, 25:L1029-L1032.
4. Gustafson, R. A. (1987). A Whipple's transformation for hypergeometric series in u(n) and multivariable hypergeometric orthogonal polynomials. SIAM J. Math. Anal., 18:495-530.
5. Koelink, H. T. and Van der Jeugt, J. (1998). Convolutions for orthogonal polynomials from Lie and quantum algebra representations. SIAM J. Math. Anal., 29:794-822.
6. Rahman, M. (1981). Discrete orthogonal systems corresponding to Dirichlet distribution. Utilitas Mathematzca, 20:261-272.
7. Rosengren, H. (2001). Multivariable q-Hahn polynomials as coupling coefficients for quantum algebra representations. Int. J. Math. Sci., 28:331-358.
8. Tratnik, M. V. (1991a). Some multivariable orthogonal polynomials of the Askey tableau-continuous families. J. Math. Phys., 32:2065-2073.
9. Tratnik, M. V. (1991b). Some multivariable orthogonal polynomials of the Askey tableau-discrete families. J. Math. Phys., 32:2337-2342.
10. van Diejen, J. F. and Stokman, J. V. (1998). Multivariable q-Racah polynomials. Duke Math. J., 91:89-136.
11. Wilson, J. A. (1980). Some hypergeometric orthogonal polynomials. SIAM J. Math. Anal., 11:690-701.