TY - JOUR T1 - Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of $[p,q]$ Order to Complex Non-Homogeneous Linear Differential Equations AU - Belaïdi , Benharrat AU - Abdellaoui , Mohammed Amin JO - Journal of Mathematical Study VL - 1 SP - 65 EP - 83 PY - 2017 DA - 2017/03 SN - 50 DO - http://doi.org/10.4208/jms.v50n1.17.05 UR - https://global-sci.org/intro/article_detail/jms/980.html KW - Non-homogeneous linear differential equations, differential polynomials, meromorphic solutions, $[p,q]$-order. AB -
In this article we study the complex oscillation of differential polynomials generated by meromorphic solutions of the non-homogeneous linear differential equation $$f^{(k)}+A_{k-1}(z)f^{(k-1)}+...+A_1(z)f'+A_0(z)f=F,$$ where $A_i(z)(i=0,1, ...,k-1)$ and $F$ are meromorphic functions of finite $[p,q]$-order in the complex plane.