TaylorSeriesExpansion(Coef, Expon, Var, PS, UTS)ΒΆ

serexp.spad line 1

undocumented

apply_taylor: (UTS, PS) -> PS
apply_taylor(g, f) applies g to f
applyTaylor: (UTS -> UTS, PS) -> PS
applyTaylor(g, f) applies g to f
taylor_via_deriv: (Coef, List PS, List Coef -> Coef) -> PS
taylor_via_deriv(f, [x1, ..., xn], [D1, ..., Dn]) expands f into Taylor series at (x1, ..., xn) using D1, ..., Dn as partial derivatives
taylor_via_deriv: (PS, List PS, List Coef -> Coef) -> PS
taylor_via_deriv(f, [x1, ..., xn], [D1, ..., Dn]) expands f into Taylor series at (x1, ..., xn) using D1, ..., Dn as partial derivatives
taylor_via_lode: (List UTS, PS, List Coef) -> PS
taylor_via_lode([a0, ..., ak], z, [c0, ..., ck]) expands into Taylor series solution of the linear ordinary differential equation