Especially preferred aminofunctional silicones correspond to the formula (S4-III) in which m and n are numbers, the sum of which (m+n) is between 1 and 2000, preferably between 50 and 150, where n preferably assumes values from 0 to 1999 and in particular from 49 to 149, and m preferably assumes values of 1 to 2000, in particular 1 to 10.