A Limit Relation for Dunkl–Bessel Functions of Type A and B
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چکیده
We prove a limit relation for the Dunkl–Bessel function of type BN with multiplicity parameters k1 on the roots ±ei and k2 on ±ei ± ej where k1 tends to infinity and the arguments are suitably scaled. It gives a good approximation in terms of the Dunkltype Bessel function of type AN−1 with multiplicity k2. For certain values of k2 an improved estimate is obtained from a corresponding limit relation for Bessel functions on matrix cones.
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تاریخ انتشار 2008