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.