The classes of $({\rm A}){\rm sh}_{m}$ and $({\rm B}){\rm sh}_{m}$ functions

We study Sadullaev’s hypothesis about equality of the classes of $({\rm A}){\rm sh}_{m} $ and $({\rm B}){\rm sh}_{m}$ functions. It has been shown that the hypothesis is true for $m=2$ (Sadullaev) and for $n\le 7,\, 1\le m\le n$ (Dinew). Here we prove that the hypothesis is true for $n=9$, $m=3$ and $n=8$, $m=3$ but it is not true for $n=10,\,m=3$.