Root systems and hypergeometric functions III

E. M. Opdam

Compositio Mathematica (1988)

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

How to cite


Opdam, E. M.. "Root systems and hypergeometric functions III." Compositio Mathematica 67.1 (1988): 21-49. <>.

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 = {},
volume = {67},
year = {1988},

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 -
ER -


  1. [B] R. Beerends: On the Abel transform and its inversion, thesis (1987). Zbl0597.43006
  2. [H] G.J. Heckman: Root systems and hypergeometric functions II. Comp. Math.64 (1987) 353-373. Zbl0656.17007MR918417
  3. [HC] Harish Chandra: Differential operators on a semisimple Lie algebra. A.J.M.79 (1957) 87-120. Zbl0072.01901MR84104
  4. [HO] G.J. Heckman and E.M. Opdam: Root systems and hypergeometric functions I. Comp. Math.64 (1987) 329-352. Zbl0656.17006MR918416
  5. [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
  6. [L] H. v.d.Lek: The homotopy type of complex hyperplane complements. Thesis, Nijmegen (1983). 
  7. [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
  8. [Se] J. Sekiguchi: Zonal spherical functions on some symmetric spaces. Publ. RMS Kyoto Univ, 12 Suppl. 455-459 (1977). Zbl0383.43005MR461040
  9. [V] L. Vretare: Formulas for elementary spherical functions and generalized Jacobi polynomials. SIAM15 (1984). Zbl0549.43006MR747438

Citations in EuDML Documents

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

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