  We wish to investigate the $D_{\omega}$-classical orthogonal polynomials,
where $D_{\omega}$ is a special case of the Hahn operator. For this purpose, we
consider the problem of finding all sequences of orthogonal polynomials such
that their $D_{\omega}$-derivatives are also orthogonal polynomials. To solve
this problem we adopt a different approach to those employed in this topic. We
first begin by determining the coefficients involved in their recurrence
relations, and then providing an exhaustive list of all solutions. When
$\omega=0$, we rediscover the classical orthogonal polynomials of Hermite,
Laguerre, Bessel and Jacobi. For $\omega=1$, we encounter the families of
discrete classical orthogonal polynomials as particular cases.
