A limit transition from the Heckman-Opdam hypergeometric functions to the Whittaker functions associated with root systems
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functionfunctionsheckman-opdamhypergeometriclimitwhittakerappropriateassociated
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We prove that the radial part of the class one Whittaker function on a split semisimple Lie group can be obtained as an appropriate limit of the Heckman-Opdam hypergeometric function.
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