Comment on "Thermo-magnetic properties of the screened Kratzer potential with spatially varying mass under the influence of Aharanov-Bohm (AB) and position-dependent magnetic

We show that the authors of a paper published recently failed to obtain the thermodynamic properties of the system (Helmholtz free energy, entropy, internal energy, specific heat, magnetization and magnetic susceptibility). The reason is that they omitted the sum over the magnetic quantum number which is essential for the calculation of the partition function. As a consequence, their analytical expressions are unsuitable for any physical application.