Value distribution of solutions of the higher-order non-homogeneous linear differential equations and their arbitrary-order derivatives in the unit disc
Value distribution of solutions of the higher-order non-homogeneous linear differential equations and their arbitrary-order derivatives in the unit disc
In this paper,we studied the value distribution of solutions and their arbitrary-order derivatives of the higher-or-der non-homogeneous linear differential equation f(k)+Ak-1(z)f(k-1)+…+A1(z)f'+A0(z)f=F(z),where the coeffi-cients were analytic functions or meromorphic functions of finite[p,q]-order in the unit disc.We obtained some oscillation the-orems for f(j)(z)-φ(z),which were generalizations and improvements of some previous theorems.
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