Some systems of multivariable orthogonal askey-wilson polynomials

Developments in Mathematics

Volumn 13, Issue , 2005, Pages 209-219

  Gasper, George ^a   Rahman, Mizan ^b  

^a NORTHWESTERN UNIVERSITY   (United States)

^b CARLETON UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845756995     PISSN: 13892177     EISSN: None     Source Type: Book Series    
DOI: 10.1007/0-387-24233-3_10     Document Type: Article

References (12)

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2. Askey, R. and Wilson, J. A. (1985). Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials. Memoirs Amer. Math. Soc., 319.
3. Gasper, G. and Rahman, M. (1990). Basic Hypergeometric Series. Cambridge University Press, Cambridge.
4. Gasper, G. and Rahman, M. (2003). q-analogues of some multivariable biorthogonal polynomials. This Proceedings.
5. Koekoek, R. and Swarttouw, R. F. (1998). The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue. Report 98-17, Delft University of Technology.
6. 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.
7. Koornwinder, T. H. (1992). Askey-Wilson polynomials for root systems of type BC. In Hypergeometric functions on domains of positivity, Jack polynomials, and applications (Tampa, FL, 1991), volume 138 of Contemp. Math., pages 189-204. Amer. Math. Soc., Providence, RI.
8. Stokman, J. V. (1999). On BC type basic hypergeometric orthogonal polynomials. Trans. Amer. Math. Soc., 352:1527-1579.
9. Tratnik, M. V. (1989). Multivariable Wilson polynomials. J. Math. Phys., 30:2001-2011.
10. Tratnik, M. V. (1991a). Some multivariable orthogonal polynomials of the Askey tableau--continuous families. J. Math. Phys., 32:2065-2073.
11. Tratnik, M. V. (1991b). Some multivariable orthogonal polynomials of the Askey tableau-discrete families. J. Math. Phys., 32:2337-2342.
12. Wilson, J. A. (1980). Some hypergeometric orthogonal polynomials. SIAM J. Math. Anal., 11:690-701.