Bulletin of the American Mathematical Society

Author(s): Robert A. Gustafson
Journal: Bull. Amer. Math. Soc. 22 (1990), 97-105.
MSC (1985): Primary 33A15, 33A75, 05A19
MathSciNet review: 1001607
Retrieve article in: PDF

1.: K. Aomoto, Jacobi polynomials associated with Selberg integrals, SIAM J. Math. Anal. 18 (1987), 545-549. MR 876291
2.: G. Andrews, Problems and prospects for basic hypergeometric functions, The Theory and Applications of Special Functions, (R. Askey, ed.), Academic Press, New York, 1975, pp. 191-224. MR 399528
3.: R. Askey, Beta integrals and q-extensions, Annamalai Univ. lecture, preprint. MR 993347
4.: R. Askey and J. Wilson, Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. no. 319 (1985). MR 783216
5.: E. W. Barnes, A new development of the theory of hypergeometric functions, Proc. London, Math. Soc. (2) 6 (1908), 141-177.
6.: L. de Branges, Tensor products spaces, J. Math. Anal. Appl. 38 (1972), 109-148. MR 417337
7.: F. J. Dyson, Statistical theory of the energy levels of complex systems. I, J. Math. Phys. 3 (1962), 140-156. MR 143556
8.: F. Garvan, A proof of the Macdonald-Morris root system conjecture for F, preprint.
9.: F. Garvan and G. H. Gonnet, A proof of the two parameter q-case of the Macdonald-Morris root system conjecture for S(F, preprint.
10.: J. Gunson, Proof of a conjecture of Dyson in the statistical theory of energy levels, J. Math. Phys. 3 (1962), 752-753. MR 148401
11.: R. Gustafson, Some q-beta and Mellin-Barnes integrals on compact Lie groups and Lie algebras, preprint. MR 1139492
12.: R. Gustafson, Some multidimensional beta type integrals, preprint.
13.: L. Habsieger La q-Macdonald-Morris pour G₂, C. R. Acad. Sci (Paris) 303 (1986), 211-213. MR 860819
14.: K. Kadell, A proof of the q-Macdonald-Morris conjecture for BC, preprint. MR 1140650
15.: I. G. Macdonald, Affine root systems and Dedekind's η-function, Invent. Math. 15 (1972), 91-143. MR 357528
16.: I. G. Macdonald, The Poincaré series of a Coxeter group, Math. Ann. 199 (1972), 161-174. MR 322069
17.: I. G. Macdonald, Some conjectures for root systems, SIAM J. Math. Anal. 13 (1982), 988-1007. MR 674768
18.: M. L. Mehta, Random matrices and the statistical theory of energy levels, Academic Press, New York, 1967. MR 220494
19.: W. G. Morris, Constant term identities for finite and affine root systems: conjectures and theorems, Ph. D. thesis, Univ. of Wisconsin-Madison, 1982.
20.: E. Opdam, Some applications of hypergeometric shift operators, preprint. MR 1010152
21.: M. Rahman, Another conjectured q-Selberg integral, SIAM J. Math. Anal. 17 (1986), 1267-1279. MR 853529
22.: S. Ramanujan, A class of definite integrals, Quart. J. Math. 48 (1920), 294-310.
23.: A. Selberg, Bemerkinger om et multipelt integral, Norsk Mat. Tidsskr. 26 (1944), 71-78. MR 18287
24.: J. A. Wilson, Some hypergeometric orthogonal polynomials, SIAM J. Math. Anal. 11 (1980), 690-701. MR 579561
25.: K. Wilson, Proof of a conjecture of Dyson, J. Math. Phys. 3 (1962), 1040-1043. MR 144627
26.: D. Zeilberger, A proof of the G, SIAM J. Math. Anal. 18 (1987), 880-883. MR 883574
27.: D. Zeilberger, A unified approach to Macdonald's root-system conjectures, SIAM J. Math. Anal 19 (1988), 987-1013. MR 946656
28.: D. Zeilberger and D. M. Bressoud, A proof of Andrews' q-Dyson conjecture, Discrete Math. 54 (1985), 201-224. MR 791661

Retrieve articles in Bulletin of the American Mathematical Society with MSC (1985): 33A15, 33A75, 05A19

			Journals Home Search Author Info Subscribe Tech Support Help
ISSN 1088-9485(e) ISSN 0273-0979(p)

Previous issue \| Table of contents \| Next issue Articles in press \| Recently posted articles \| Most recent issue \| All issues: 1891 - Present Previous Article \| Next Article


	Comments: webmaster@ams.org © Copyright 2009, American Mathematical Society Privacy Statement		Search the AMS