The existence of the hypergeometric (confluent as well as Gauss')
ordinary linear differential equation finds useful applications in
quantum mechanics where the construction of many dynamical models
proves reducible to the hypergeometric Sturm-Liouville problem
(often leading to polynomial eigenfunctions as a bonus). The paper
describes several examples of this type. Its contents are well
summarized by its title.


MR2161632 Egrifes, Harun ; Sever, Ramazan . Bound states of the
Dirac equation for the $PT$-symmetric generalized Hulthén
potential by the Nikiforov-Uvarov method. Phys. Lett. A 344
(2005), no. 2-4, 117--126.