This material has been published in
q-Series and Related Topics",
M. Ismail, D. Masson and M. Rahman (eds.), Fields Institute
Communications, vol. 14, Amer. Math. Soc., Providence, R.I., 1997,
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Robert A. Gustafson and Christian Krattenthaler
and U(n) extensions of Heine's
We give new proofs for U(n) extensions of Heine's three
2\phi1-transformation formulas that were
recently discovered in
another paper by the authors. These new
proofs proceed by combining
Heine's original transformation formulas with certain determinant
evaluations. As a by-product we are able to generalize two of the
U(n) transformation formulas.
The following versions are available:
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