  Using the formalism of Maya diagrams and ladder operators, we describe the
algebra of annihilating operators for the class of rational extensions of the
harmonic oscillators. This allows us to construct the corresponding coherent
state in the sense of Barut and Girardello. The resulting time-dependent
function is an exact solution of the time-dependent Schrodinger equation and a
joint eigenfunction of the algebra of annihilators.
