Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of $[p,q]$ Order to Complex Non-Homogeneous Linear Differential Equations

Authors

  • Benharrat Belaïdi
  • Mohammed Amin Abdellaoui Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), B. P. 227 Mostaganem, Algeria

DOI:

https://doi.org/10.4208/jms.v50n1.17.05

Keywords:

Non-homogeneous linear differential equations, differential polynomials, meromorphic solutions, $[p, q]$-order.

Abstract

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.

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Published

2017-03-12

Issue

Vol. 50 No. 1 (2017)

Section

Articles