Abstract For every $m\in \mathbb {N}$ , we establish the equidistribution of sequence averaged pullbacks a Dirac measure at any given value in $\mathbb {C}\setminus \{0\}$ under $m$ th order derivatives iterates polynomials $f\in {C}[z]$ degree $d>1$ towards harmonic filled-in Julia set f with pole $\infty $ . We also non-archimedean and arithmetic counterparts using potential theory on Berk...
