  It is shown that the number-phase Wigner function defines uniquely the
respective density operator. Relations between the Glauber-Sudarshan
distribution $\mathcal{P}(\alpha)$ and the number-phase Wigner function is
found. This result is then generalised to the case of the Cahil-Glauber
distributions $\mathcal{W}^{(s)}(\alpha)$, $-1\leq s \leq 1$.
