Exact analytical solution of Schrödinger equation for a generalized noncentral potential

Analytical eigenstate solution of Schrödinger equation for a modified ring-shaped oscillator potential is presented by using extended Nikiforov Uvarov method in cylindrical coordinates. The potential is a generalized form of ring-shaped oscillator potential, double-ring-shaped potential, double-ring-shaped harmonic oscillator potential, some extended class of Smorodinsky-Winternitz potentials, double-ring-shaped Coulomb oscillator potential and anisotropic ring-shaped oscillator potential. Bound-state solutions of the Schrödinger equation are obtained in terms of biconfluent Heun polynomials.