  Original English Summary. - A systematic method of constructing potentials,
for which the one-variable Schroedinger equation can be solved in terms of the
hypergeometric (HGM) function, is presented. All the potentials, obtained by
energy-independent transformations of the HGM equation, are determined together
with eigenvalues and eigenfunctions. A class of potentials derived from the
confluent HGM equation is found by means of a limit process
