  We construct a class of generalized nonlinear coherent states by means of a
newly obtained class of 2D complex orthogonal polynomials. The associated
coherent states transform is discussed. A polynomials realization of the basis
of the quantum states Hilbert space is also obtained. Here, the entire
structure owes its existence to a certain measure on the positive real half
line, of finite total mass, together with all its moments. We illustrate this
construction with the example of the measure $r^\beta e^{-r}dr$, which leads to
a new generalization of the true-polyanalytic Bargmann transform.
