By using Hiong's infinite order, the author extends a classical result due to Nevanlinna on the growth and values of the finite order entire function in an angular domain to the infinite order. As an application, the radial oscillation of the solutions of the higher order homogeneous linear differential equation $$f^{(k)}+A_{k-2}(z)f^{(k-2)}+\cdots+A_{1}(z)f'+A_{0}(z)f=0$$ with transcendental entire function coefficients is studied.