A Group-Theoretical Method for Natanzon Potentials in Position-Dependent   Mass Background
  A new manner for deriving the exact potentials is presented. By making use of conformal mappings, the general expression of the effective potentials deduced under su(1,1) algebra can be brought back to the general Natanzon hypergeometric potentials. 
S.-A. Yahiaoui, M. Bentaiba*