Abstract
The real Lie group G=SU(2,2) has a standard maximal parabolic subgroup PJ corresponding to the long simple roots in its restricted root system. We have an explicit formula of the holonomic system of the radial part of the matrix coefficients with corner K-type of the generalized principal series representations of G obtained by parabolic induction with respect to PJ from the discrete series representations of MJ. It is equivalent to the modified F2 system of Appell.
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