The paper studies the growth of solutions to the higher order homogeneous linear differential equation,f(n)+An-1(z)f(n-1)+…A1(z)f'+A0(z)f=0 where the coefficients are analytic functions in the unit disc Δ.When A0(z)and As(z)dominate the other coefficients,we obtain some estimates of[p,q]-orderof solutions of the equation by using the lower[p,q]-order,the lower[p,q]-type or the lower new[p,q]-type of A0(z)to As(z).