ON THE GROWTH OF SOLUTIONS OF COMPLEX DIFFERENTIAL EQUATIONS WITH ENTIRE COEFFICIENTS OF FINITE LOGARITHMIC ORDER

摘要

The concept of logarithmic order is used to investigate the growth of solutions of the linear differential equations f~((k)) + A_(k-1)(z)f~((k-1)) + ... + A_1(z)f~' + A_0(z)f = 0, f~((k)) + A_(k-1)(z)f~((k-1)) + ... + A_1(z)f~' + A_0(z)f = F(z), where A_0 ≠ 0, A_1, ..., A_(k-1) and F ≠ 0 are transcendental entire functions with orders zero.