Computing with Differential-difference Operators

Journal of Symbolic Computation

Volumn 28, Issue 6, 1999, Pages 819-826

  Dunkl, Charles F ^a  

^a University of Virginia   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002337486     PISSN: 07477171     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsco.1997.0341     Document Type: Article

References (12)

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3. Dunkl C. F. Integral kernels with reflection group invariance. Can. J. Math. 43:1991;1213-1227.
4. Dunkl C. F. Intertwining operators and polynomials associated with the symmetric group. Monatsh. Math. 126:1998;181-209.
5. Hikami K. Dunkl operator formalism for quantum many-body problems associated with classical root systems. J. Phys. Soc. Japan. 65:1996;394-401.
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7. Kalnins E. G., Miller, Jr W., Tratnik M. V. Families of orthogonal and bi-orthogonal polynomials on the N -sphere. SIAM J. Math. Analysis. 22:1991;272-294.
8. Koornwinder T. H. The addition formula for Jacobi polynomials and spherical harmonics. SIAM J. Appl. Math. 25:1973;236-246.
9. Koornwinder T. H. Two-variable analogues of the classical orthogonal polynomials. Askey R. Theory and Applications of Special Functions. 1975;435-495 Academic Press, New York.
10. Koornwinder T. H., Schwartz A. L. Product formulas and associated hypergroups for orthogonal polynomials on the simplex and on a parabolic biangle. Constr. Approx. 13:1997;537-567.
11. Lapointe L., Vinet L. Exact operator solution of the Calogero-Sutherland model. Commun. Math. Phys. 178:1996;425-452.
12. Xu Y. Orthogonal polynomials for a family of product weight functions on the spheres. Can. J. Math. 49:1997;175-192.