On Elliptic Product Formulas for Jackson Integrals Associated with Reduced Root Systems
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citation_journal_title=SIAM J. Math. Anal.; citation_title=On connection coefficients for q-difference system of A type Jackson integral; citation_author=K. Aomoto; citation_volume=25; citation_publication_date=1994; citation_pages=256-273; citation_id=CR1
citation_journal_title=Osaka J. Math.; citation_title=On a theta product formula for the symmetric Atype connection function; citation_author=K. Aomoto; citation_volume=32; citation_publication_date=1995; citation_pages=35-39; citation_id=CR2
citation_journal_title=Proc. Japan Acad.; citation_title=Gauss decomposition of connection matrices and application to Yang-Baxter equation, I; citation_author=K. Aomoto, Y. Kato; citation_volume=69; citation_publication_date=1993; citation_pages=238-241; citation_id=CR3
citation_journal_title=Duke Math. Jour.; citation_title=Connection coefficients for symmetric Atype Jackson integrals; citation_author=K. Aomoto, Y. Kato; citation_volume=74; citation_publication_date=1994; citation_pages=129-143; citation_id=CR4
citation_journal_title=SIAM J. Math. Anal.; citation_title=Some basic hypergeometric extensions of integrals of Selberg and Andrews; citation_author=R. Askey; citation_volume=11; citation_publication_date=1980; citation_pages=938-951; citation_id=CR5
I. Cherednik, “The Macdonald constant term conjecture,” Int. Math. Res. Notices (6) (1993), 165-177.
citation_journal_title=Pub. of R.I.M.S.; citation_title=On certain multiple Bailey, Rogers and Dougall type summation formulas; citation_author=J.F. Diejen; citation_volume=33; citation_publication_date=1997; citation_pages=483-508; citation_id=CR7
citation_journal_title=SIAM J. Math. Anal.; citation_title=Multidimensional q-Beta integrals; citation_author=R. Evans; citation_volume=23; citation_publication_date=1992; citation_pages=758-765; citation_id=CR8
P. Griffiths and J. Harris, Principles of Algebraic Geometry, John Wiley and Sons, 1978.
citation_journal_title=SIAM J. Math. Anal.; citation_title=Some q-Beta integrals on SU(n) and Sp(n) that generalize the Askey-Wilson and Nasrallah-Rahman integrals; citation_author=R.A. Gustafson; citation_volume=25; citation_publication_date=1994; citation_pages=441-449; citation_id=CR10
citation_journal_title=Trans. AMS; citation_title=Some q-beta and Mellin-Barnes integrals on compact Lie groups and Lie algebras; citation_author=R.A. Gustafson; citation_volume=341; citation_publication_date=1994; citation_pages=69-119; citation_id=CR11
citation_journal_title=Trans. AMS; citation_title=Une q-integral de Selberg et Askey; citation_author=L. Habsieger; citation_volume=19; citation_publication_date=1988; citation_pages=1475-1489; citation_id=CR12
Masa Ito, “On theta product formula for Jackson integrals associated with root systems of rank two,” preprint, 1995.
citation_journal_title=SIAM J. Math. Anal.; citation_title=A proof of Askey's conjectured q-analog of Selberg's integral and a conjecture of Morris; citation_author=K. Kadell; citation_volume=19; citation_publication_date=1988; citation_pages=969-986; citation_id=CR14
citation_journal_title=Mem. AMS; citation_title=A proof of the qMacdonald-Morris conjecture for BCn ; citation_author=K. Kadell; citation_volume=108; citation_issue=516; citation_publication_date=1994; citation_pages=1-80; citation_id=CR15
citation_journal_title=Ann. Ecole Norm. Sup.; citation_title= q-Selberg integrals and Macdonald polynomials; citation_author=J. Kaneko; citation_volume=29; citation_publication_date=1996; citation_pages=583-637; citation_id=CR16
I. Macdonald, “A formal identity for affine root systems,” preprint, 1996.
citation_journal_title=Nagoya Math. J.; citation_title=Connection problem in holonomic q-difference system associated with a Jackson integral of Jordan-Pochhammer type; citation_author=K. Mimachi; citation_volume=116; citation_publication_date=1989; citation_pages=149-161; citation_id=CR18
T. Terasoma, “Determinants of q-hypergeometric functions and another proof of Askey conjecture,” preprint, 1995.
