  On the Fr\'{e}chet space of entire functions $H(\mathbb{C})$, we show that
every nonscalar continuous linear operator $L:H(\mathbb{C})\to H(\mathbb{C})$
which commutes with differentiation has a hypercyclic vector $f(z)$ in the form
of the infinite product of linear polynomials: \[ f(z) = \prod_{j=1}^\infty \,
\left( 1-\frac{z}{a_j}\right), \] where each $a_j$ is a nonzero complex number.
