On Formal Buchstaber Groups of Special Form

A complete description of Buchstaber formal groups
$$ F(u,v)=\frac{u^2 A(v)-v^2 A(u)}{uB(v)-vB(u)}\mspace{2mu}, $$
in which the series $A(x)$ and $B(x)$ satisfy the relation $A(x)^\ell=B(x)^m$, is given. A new family of Buchstaber formal groups depending on two algebraically independent parameters is obtained.