Convergence and asymptotic behavior of Jackson integrals associated with irreducible reduced root systems

Journal of Approximation Theory

Volumn 124, Issue 2, 2003, Pages 154-180

  Ito, Masahiko ^a,b  

^a AOYAMA GAKUIN UNIVERSITY   (Japan)

^b NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0345448170     PISSN: 00219045     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jat.2003.08.006     Document Type: Article

References (11)

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3. 4, SIAM J. Math. Anal. 21 (1990) 803-821.
4. R.A. Gustafson, The Macdonald identities for affine root systems of classical type and hypergeometric series very-well-poised on semisimple Lie algebras, in: Ramanujan International Symposium on Analysis (Pune, 1987), Macmillan, India, New Delhi, 1989, pp. 185-224.
5. 2, SIAM J. Math. Anal. 21 (1990) 510-522.
6. R.A. Gustafson, Some q-Beta and Mellin-Barnes integrals on compact Lie groups and Lie algebras, Trans. Amer. Math. Anal. 23 (1992) 552-561.
7. M. Ito, On a theta product formula for Jackson integrals associated with root system of rank two, J. Math. Anal. Appl. 216 (1997) 122-163.
8. M. Ito, Symmetry classification for Jackson integral associated with irreducible reduced root systems, Compositio Math. 129 (2001) 325-340.
9. 4, Ramanujan J. 6 (2002) 279-293.
10. I.G. Macdonald, A formal identity for affine root systems, Preprint, 1996.
11. J.F. van Diejen, On certain multiple Bailey, Rogers and Dougall type summation formulas, Publ. RIMS, Kyoto Univ. 33 (1997) 483-508.