2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142153We extend the definition of eta-weak-pseudo-Hermiticity to the class of potentials endowed with position-dependent mass. The construction of non-Hermitian Hamiltonians through some generating function are obtained. Special cases of potentials are thus deduced.17 pagesMathematical Physics03.65.Ca; 03.65.Fd; 03.65.GeWeak-Pseudo-Hermiticity of Non-Hermitian Hamiltonians with Position-Dependent Masstext