2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184575A decomposition of identity is given as a complex integral over the coherent states associated with a class of shape-invariant self-similar potentials. There is a remarkable connection between these coherent states and Ramanujan's integral extension of the beta function.9 pages of LatexMathematical PhysicsQuantum AlgebraNuclear Theory81R30 (primary);20G42Completeness of Coherent States Associated with Self-Similar Potentials and Ramanujan's Integral Extension of the Beta Functiontext