Ruijsenaars ’ Hypergeometric Function and the Modular Double
نویسنده
چکیده
Simultaneous eigenfunctions of two Askey-Wilson second order difference operators are constructed as formal matrix coefficients of the principal series representation of the modular double of the quantized universal enveloping algebra Uq(sl 2 (C)). These eigenfunctions are shown to be equal to Ruijsenaars' hypergeometric function under a proper parameter correspondence .
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