and Koc et al. in [28]). Eliminating in the process, the Gora’s and Williams’ ( β = γ = 0 , α = − 1), and Li’s and Kuhn’s ( β = γ = − 1 / 2 , α = 0) known parametric sets. Moreover, Dutra’s and Almeida’s [9] reliability test classifies the parametric set of Ben Daniel and Duke ( α = γ = 0 , β = − 1) as a set to-be- discarded for it yields imaginary eigenvalues. This would leave us with Zhu’s and Kroemer’s ( α = γ = − 1 / 2 , β = 0) and Mustafa’s and Mazharimousavi’s ( α = γ = − 1 / 4 , β = − 1 / 2) ordering ambiguity parameters that are classified as ”good” parametric sets, so to speak. Nevertheless, we have observed (cf., e. g., [29]) that the physical and/or mathematical admissibility of a given ambi- guity parametric set depends also on the form of the position-dependent-mass and/or the form of the interaction potential. In the forthcoming methodical proposal, we shall work with the ambiguity parameters as they are without any classification as to which set is ”good” or ”to-be-discarded”. 

Very recently, Mustafa [31] has considered the von Roos Hamiltonian (1) using cylindrical coordinates. Therein, we sought some manifestly feasible sep- arability through the suggestion that the position-dependent-mass is only radial- dependent (i.e., m ( ⃗ r ) = m$_{◦}$M ( ρ, ϕ, z ) = M ( ρ, ϕ, z ) = M ( ρ ) = 1 /ρ $^{2}$), where azimuthal symmetrization is granted through a proper assumption of the inter- action potential. The spectral signatures of different z -dependent interaction potential settings on the radial Coulombic and radial harmonic oscillator in- teraction potentials’ spectra are reported for impenetrable walls at z = 0 and z = L , for a Morse, for a non-Hermitian PT -symmetrized Scarf II, and for a non-Hermitian PT -symmetrized Samsonov interaction models. 

In this work, we offer a parallel azimuthal symmetrization along with a more general (though still only radial-dependent) power-law-type position-dependent- mass (i.e., M ( ρ, ϕ, z ) = M ( ρ ) = bρ 2 υ $^{+1}$/ 2). Obviously, a υ = − 3 / 2 and b = 2 yield M ( ρ ) ∼ 1 /ρ 2 which is, under the current forthcoming settings, a special 

