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

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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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