A theta product formula for Jackson integrals associated with root systems

Proceedings of the Japan Academy Series A: Mathematical Sciences

Volumn 73, Issue 4, 1997, Pages 60-61

  Ito, Masahiko ^a  

^a NAGOYA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 21744438426     PISSN: 03862194     EISSN: None     Source Type: Journal    
DOI: 10.3792/pjaa.73.60     Document Type: Article

References (9)

1. R. Askey: Some basic hypergeomctric extentions of integrals of Selberg and Andrews. SIAM J. Math. Anal., 11, 938-951 (1980).
2. K. Aomoto: q-analogue of de Rham cohomology associated with Jackson Integrals. I, II. Proc. Japan Acad., 66A, 161-164, 240-244 (1990).
3. K. Aomoto: On elliptic product formula for Jacson Integrals associated with Reduced Root Systems (1994) (preprint).
4. R. Evans: Multidimensional q-Beta integrals. SIAM J. Math. Anal., 23, 758-765 (1992).
5. L. Habsieger: Une q-intégrale de Selberg et Askey. SIAM J. Math. Anal., 19, 1475-1489 (1988).
6. K. W. J. Kadell: A proof of Askey's conjectured q-analogue of Selberg's integral and a conjecture of Morris. SIAM J. Math. Anal. 19, 969-986 (1988).
7. J. Kaneko: q-Selberg integrals and Macdonald polynomials. Ann. Ecole Norm. Sup., (4), 29, 583-637 (1996).
8. M. Ito: On a theta product formula for Jackson integrals associated with root systems of rank two (1995) (preprint).
9. I. G. Macdonald: A formal identity for affine root systems (1996) (preprint).