Summary: Exact solutions of the Schrödinger equation for two ‘deformed hyperbolic potentials’ that were introduced by

*H. Arai* [J. Math. Anal. Appl. 158, No. 1, 63–79 (1991;

Zbl 0731.47055)] have been obtained by using an analytical solution method which has been developed by

*A. F. Nikiforov* and

*V. B. Uvarov* [Special Functions of Mathematical Physics. Basel: Birkhäuser (1988;

Zbl 0624.33001)] for the solutions of the differential equations of hypergeometric type in which the solutions are special functions.