Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of $[p,q]$ Order to Complex Non-Homogeneous Linear Differential Equations
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Year: 2017
Author: Benharrat Belaïdi, Mohammed Amin Abdellaoui
Journal of Mathematical Study, Vol. 50 (2017), Iss. 1 : pp. 65–83
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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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v50n1.17.05
Journal of Mathematical Study, Vol. 50 (2017), Iss. 1 : pp. 65–83
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Non-homogeneous linear differential equations differential polynomials meromorphic solutions $[p q]$-order.