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A Product Formula for Jackson Integral Associated with the Root System F 4
Authors:Ito  Masahiko
Institution:(1) Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya, 464-8602, Japan
Abstract:A multiple summation formula for the root system F 4 originated from Bailey's very-well-poised 6psgr6 summation theorem is studied. The multiple sum in this paper is included in a classification list (M. Ito, Compositio Math., 129 (2001), 325–340) of Jackson integral associated with irreducible reduced root system which contains sums investigated by Gustafson, Macdonald, Aomoto, and the author.
Keywords:very-well-poised 6psgr6 sum" target="_blank">gif" alt="psgr" align="MIDDLE" BORDER="0">6 sum  Askey-Wilson integral  root system of type F 4  Jackson integral
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