case of M ( ρ ) = bρ 2 υ $^{+1}$/ 2 that shall not be repeated here. Instead, we shall use υ = − 1 and υ = 1 / 2 that yield quantum particles endowed with position- dependent masses of a Coulombic-type, M ( ρ ) = bρ − $^{1}$/ 2, and a harmonic os- cillator type, M ( ρ ) = bρ $^{2}$/ 2, respectively. To the best of our knowledge, such position-dependent mass settings have not been considered elsewhere. To make this work self-contained, we recollect (in section 2) the most rele- vant and vital relations (namely, equations (2)-(5) below) that have been readily reported in [31] for cylindrical coordinates separability and exact solvability of the PDM-Hamiltonian (1). In the same section, we discuss the separability in the framework of a manifestly radial power-law position-dependent mass and contemplate on the feasible separabilities. In section 3, we consider two par- ticular radial mass settings; a harmonic oscillator type, M ( ρ, ϕ, z ) = M ( ρ ) = g ( ρ ) = bρ $^{2}$/ 2, and a Coulombic type, M ( ρ, ϕ, z ) = M ( ρ ) = g ( ρ ) = bρ − $^{1}$/ 2. We subject the radial harmonic oscillator type mass to move under the influence of a radial harmonic oscillator potential field ˜ V ( ρ ) = a $^{2}$ρ$^{2}$/ 4 and the radial Coulombic mass to a radial Coulombic potential ˜ V ( ρ ) = − 2 ˜ A/ρ . The spectral signatures of (i) two impenetrable walls at z = 0 and z = L provided by the potential well ˜ V ( z ) = 0 for 0 < z < L and ˜ V ( z ) = ∞ elsewhere, (ii) a Morse type [31] interaction ˜ V ( z ) = D ( e − 2 ϵz − 2 e − $^{ϵz}$) ; D > 0, and (iii) a trigonomet- ric Rosen-Morse [32] potential ˜ V z ) = U$_{◦}$ cot $^{2}$( πz/d ) ; z ∈ [0 , d ], are reported in the same section. Our concluding remarks are given in section 4. Following our recent work [31] on cylindrical coordinates separability and ex- act solvability of the PDM-Hamiltonian (1), we again consider the position- 2 Cylindrical coordinates and radial power-law PDM framework 4