Just another discovery of the solvability of certain Schroedinger
equation in terms of the Gauss hypergeometric functions. The key
”l-wave solution” idea of this paper has already been explained,
sufficiently thoroughly, in the Fluegges 1971 book ”Practical
Quantum Mechanics”.

MR2371134 Dong, Shi-Hai; Qiang, Wen-Chao; Sun, Guo-Hua; Bezerra,
V. B. Analytical approximations to the $l$-wave solutions of the
Schrödinger equation with the Eckart potential. J. Phys. A 40
(2007), no. 34, 10535--10540. 81Q05 (33C05)