The Growth of Solutions for Some Kind of Higher Order Differential Equations in the Unit Disc
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).
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