Volume 50, Issue 1
Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of $[p,q]$ Order to Complex Non-Homogeneous Linear Differential Equations

Benharrat Belaïdi & Mohammed Amin Abdellaoui

J. Math. Study, 50 (2017), pp. 65-83.

Published online: 2017-03

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  • 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.

  • AMS Subject Headings

34M10, 30D35

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

benharrat.belaidi@univ-mosta.dz (Benharrat Belaïdi)

abdellaouiamine13@yahoo.fr (Mohammed Amin Abdellaoui)

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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.

Benharrat Belaïdi & Mohammed Amin Abdellaoui. (2019). 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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