# Root systems and hypergeometric functions III

Compositio Mathematica (1988)

- Volume: 67, Issue: 1, page 21-49
- ISSN: 0010-437X

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top## How to cite

topOpdam, E. M.. "Root systems and hypergeometric functions III." Compositio Mathematica 67.1 (1988): 21-49. <http://eudml.org/doc/89908>.

@article{Opdam1988,

author = {Opdam, E. M.},

journal = {Compositio Mathematica},

keywords = {multivariable hypergeometric functions; Harish-Chandra homomorphism; root system of type },

language = {eng},

number = {1},

pages = {21-49},

publisher = {Kluwer Academic Publishers},

title = {Root systems and hypergeometric functions III},

url = {http://eudml.org/doc/89908},

volume = {67},

year = {1988},

}

TY - JOUR

AU - Opdam, E. M.

TI - Root systems and hypergeometric functions III

JO - Compositio Mathematica

PY - 1988

PB - Kluwer Academic Publishers

VL - 67

IS - 1

SP - 21

EP - 49

LA - eng

KW - multivariable hypergeometric functions; Harish-Chandra homomorphism; root system of type

UR - http://eudml.org/doc/89908

ER -

## References

top- [B] R. Beerends: On the Abel transform and its inversion, thesis (1987). Zbl0597.43006
- [H] G.J. Heckman: Root systems and hypergeometric functions II. Comp. Math.64 (1987) 353-373. Zbl0656.17007MR918417
- [HC] Harish Chandra: Differential operators on a semisimple Lie algebra. A.J.M.79 (1957) 87-120. Zbl0072.01901MR84104
- [HO] G.J. Heckman and E.M. Opdam: Root systems and hypergeometric functions I. Comp. Math.64 (1987) 329-352. Zbl0656.17006MR918416
- [K] T.H. Koornwinder: Orthogonal polynomials in two variables which are eigenfunctions of two algebraically independent differential operators, I-IV. Indag. Math36 (1974) 48-66 and 358-381. MR340673
- [L] H. v.d.Lek: The homotopy type of complex hyperplane complements. Thesis, Nijmegen (1983).
- [S] I.G. Sprinkhuizen-Kuyper: Orthogonal polynomials in two variables. A further analysis of the polynomials orthogonal over a region bounded by two lines and a parabola. SIAM7 (1976). Zbl0332.33011MR415187
- [Se] J. Sekiguchi: Zonal spherical functions on some symmetric spaces. Publ. RMS Kyoto Univ, 12 Suppl. 455-459 (1977). Zbl0383.43005MR461040
- [V] L. Vretare: Formulas for elementary spherical functions and generalized Jacobi polynomials. SIAM15 (1984). Zbl0549.43006MR747438

## Citations in EuDML Documents

top- G. J. Heckman, Root systems and hypergeometric functions. II
- E. M. Opdam, Root systems and hypergeometric functions IV
- Pavel Etingof, Konstantin Styrkas, Algebraic integrability of Schrodinger operators and representations of Lie algebras
- R. J. Beerends, The Abel transform and shift operators
- J. F. Van Diejen, Commuting difference operators with polynomial eigenfunctions
- I. G. MacDonald, Affine Hecke algebras and orthogonal polynomials
- E. M. Opdam, Dunkl operators, Bessel functions and the discriminant of a finite Coxeter group
- G. J. Heckman, Dunkl operators

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