Let $(f_n)_{ n=1}^\infty$ be a sequence of nonlinear polynomials satisfying some mild conditions. Furthermore, let $F_m(z)=(f_m\circ f_{ m-1}\ldots \circ f_1)(z)$ and $\rho_m$ be the leading coefficient for $F_m$. It is shown that on the Julia set $J_{ (f_n)}$, the Chebyshev polynomial of the degree deg${ F_m}$ is of the form $F_m(z)/\rho_m-\tau_m$ for all $m\in\mathbb{ N}$ where $\tau_m\in\mathbb{ C}$. This generalizes the result obtained for autonomous Julia sets.
Categories: math.DS