Via a change of variables mediated by closed formulae, a polynomially solvable Gauss' hypergeometric differential equation is re-interpreted as a quantum bound-state problem. MR2430739 Sever, Ramazan; Tezcan, Cevdet; Yesiltas, Özlem; Bucurgat, Mahmut, Exact solution of effective mass Schrödinger equation for the Hulthen potential. Internat. J. Theoret. Phys. 47 (2008), no. 9, 2243--2248. 81Qxx