This material has been published in "Special Functions, 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, pp. 83-89, the only definitive repository of the content that has been certified and accepted after peer review. Copyright and all rights therein are retained by the American Mathematical Society. This material may not be copied or reposted without explicit permission.

Robert A. Gustafson and Christian Krattenthaler

Determinant evaluations and U(n) extensions of Heine's 2\phi1-transformations

(6 pages)

Abstract. 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.

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