Omar Mustafa Department of Physics, Eastern Mediterranean University, G Magusa, North Cyprus, Mersin 10,Turkey E-mail: omar.mustafa@emu.edu.tr, Tel: +90 392 630 1314, Fax: +90 392 3651604 March 4, 2018 Abstract We discuss the separability of the position-dependent mass Hamilto- nian in cylindrical coordinates in the framework of a radial power-law position-dependent mass. We consider two particular radial mass set- tings; a harmonic oscillator type, and a Coulombic type. We subject the radial harmonic oscillator type mass to a radial harmonic oscillator potential and the radial Coulombic mass to a radial Coulombic poten- tial. Azimuthal symmetry is assumed and spectral signatures of various PACS codes: 03.65.Ge, 03.65.Ca z -dependent interaction potentials are reported. 1 arXiv:1104.1353v1 [quant-ph] 7 Apr 2011 Radial power-law position-dependent mass; Cylindrical coordinates, separability, and spectral signatures