Erratum in the paper T. H. Koornwinder, "Jacobi functions and analysis on noncompact semisimple Lie groups", in: "Special functions: Group theoretical aspects and applications", R.A. Askey, T.H. Koornwinder and W. Schempp (eds.), Reidel, Dordrecht, 1984, pp. 1-85. On p.29, in (4.15) and in the formula on the sixth line belwo (4.15) replace the exponent of (2 sh t) by k+l and replace the exponent of (2 ch t) by k-l.