Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of $[p,q]$ Order to Complex Non-Homogeneous Linear Differential Equations
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@Article{JMS-50-65,
author = {Belaïdi , Benharrat and Abdellaoui , Mohammed Amin},
title = {Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of $[p,q]$ Order to Complex Non-Homogeneous Linear Differential Equations},
journal = {Journal of Mathematical Study},
year = {2017},
volume = {50},
number = {1},
pages = {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.
}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v50n1.17.05}, url = {http://global-sci.org/intro/article_detail/jms/980.html} }
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.
Belaïdi , Benharrat and Abdellaoui , Mohammed Amin. (2017). Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of $[p,q]$ Order to Complex Non-Homogeneous Linear Differential Equations.
Journal of Mathematical Study. 50 (1).
65-83.
doi:10.4208/jms.v50n1.17.05
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