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We present three types of summation formulas for the root system , which are generalized from Bailey’s summation formula for a very-well-poised balanced 6ψ6 basic hypergeometric series.
A multiple summation formula for the root system F4 originated from Bailey's very-well-poised 6ψ6 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.
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