  We show how some special production matrices may be used to define families
of generalized Eulerian triangles. We furthermore show that these generalized
Eulerian triangles are the coefficient arrays of polynomials which are the
moments of families of orthogonal polynomials. Using the previously defined
$\mathcal{T}$ transform, we associate these generalized Eulerian triangles to
triangles defined by Catalan generating functions. Again, these new triangles
are the coefficient arrays of polynomial moment sequences. The main tools used
are the Sumudu transform, Jacobi continued fractions and Riordan arrays.
