A GENERALIZATION OF SELBERG BETA-INTEGRAL

被引：68
作者：
GUSTAFSON, RA
机构：
[1] Department of Mathematics, Texas A and M University, College Station, TX
来源：
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY | 1990年 / 22卷 / 01期
关键词：
D O I：
10.1090/S0273-0979-1990-15852-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We evaluate several infinite families of multidimensional integrals which are generalizations or analogs of Euler’s classical beta integral. We first evaluate a q-analog of Selberg’s beta integral. This integral is then used to prove the Macdonald-Morris conjectures for the affine root systems of types S(Cl) and S(Cl)Vand to give a new proof of these conjectures for S(BCl), S(Bl), S(Bl)Vand S(Dl). © 1990 American Mathematical Society.
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页码：97 / 105
页数：9
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