ultrapolynomial adjective 1noun 1forms 1 adjective1 •Relating to ultrapolynomials. noun1 •(rare) A power series in several variables P:Kᵈ→K (with K a field) of the form P(x)=Σ_(α∈ℕᵈ)c_αx^α whose coefficients are bounded in some specific sense. formsultrapolynomials