Finite Logarithmic Order Meromorphic Solutions of Complex Linear Delay-Differential Equations
In this article, we study the growth of meromorphic solutions of linear delay-differential equation of the form [\ \sum_{i=0}^{n}\sum_{j=0}^{m}A_{ij}(z)f^{(j)}(z+c_{i})=F(z),/] where Aij(z) (i = 0, 1, ..., n, j = 0, 1, ..., m, n, m ∈ N) and F(z) are meromorphic of finite logarithmic order, ci(i = 0,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Mathyze Publishers
2023-11-01
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| Series: | Pan-American Journal of Mathematics |
| Online Access: | https://mathyze.com/index.php/pajm/article/view/135 |
| _version_ | 1797388620834799616 |
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| author | Abdelkader Dahmani Benharrat Belaidi |
| author_facet | Abdelkader Dahmani Benharrat Belaidi |
| author_sort | Abdelkader Dahmani |
| collection | DOAJ |
| description | In this article, we study the growth of meromorphic solutions of linear delay-differential equation of the form
[\ \sum_{i=0}^{n}\sum_{j=0}^{m}A_{ij}(z)f^{(j)}(z+c_{i})=F(z),/]
where Aij(z) (i = 0, 1, ..., n, j = 0, 1, ..., m, n, m ∈ N) and F(z) are meromorphic of finite logarithmic order, ci(i = 0, ..., n) are distinct non-zero complex constants. We extend those results obtained recently by Chen and Zheng, Bellaama and Belaïdi to the logarithmic lower order. |
| first_indexed | 2024-03-08T22:43:25Z |
| format | Article |
| id | doaj.art-932d0acfb7cd48ed820ad76ae94a34f9 |
| institution | Directory Open Access Journal |
| issn | 2832-4293 |
| language | English |
| last_indexed | 2024-03-08T22:43:25Z |
| publishDate | 2023-11-01 |
| publisher | Mathyze Publishers |
| record_format | Article |
| series | Pan-American Journal of Mathematics |
| spelling | doaj.art-932d0acfb7cd48ed820ad76ae94a34f92023-12-17T09:16:13ZengMathyze PublishersPan-American Journal of Mathematics2832-42932023-11-012010.28919/cpr-pajm/2-1433Finite Logarithmic Order Meromorphic Solutions of Complex Linear Delay-Differential EquationsAbdelkader Dahmani0Benharrat Belaidi1Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), B. P. 227 Mostaganem-AlgeriaDepartment of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), B. P. 227 Mostaganem-AlgeriaIn this article, we study the growth of meromorphic solutions of linear delay-differential equation of the form [\ \sum_{i=0}^{n}\sum_{j=0}^{m}A_{ij}(z)f^{(j)}(z+c_{i})=F(z),/] where Aij(z) (i = 0, 1, ..., n, j = 0, 1, ..., m, n, m ∈ N) and F(z) are meromorphic of finite logarithmic order, ci(i = 0, ..., n) are distinct non-zero complex constants. We extend those results obtained recently by Chen and Zheng, Bellaama and Belaïdi to the logarithmic lower order.https://mathyze.com/index.php/pajm/article/view/135 |
| spellingShingle | Abdelkader Dahmani Benharrat Belaidi Finite Logarithmic Order Meromorphic Solutions of Complex Linear Delay-Differential Equations Pan-American Journal of Mathematics |
| title | Finite Logarithmic Order Meromorphic Solutions of Complex Linear Delay-Differential Equations |
| title_full | Finite Logarithmic Order Meromorphic Solutions of Complex Linear Delay-Differential Equations |
| title_fullStr | Finite Logarithmic Order Meromorphic Solutions of Complex Linear Delay-Differential Equations |
| title_full_unstemmed | Finite Logarithmic Order Meromorphic Solutions of Complex Linear Delay-Differential Equations |
| title_short | Finite Logarithmic Order Meromorphic Solutions of Complex Linear Delay-Differential Equations |
| title_sort | finite logarithmic order meromorphic solutions of complex linear delay differential equations |
| url | https://mathyze.com/index.php/pajm/article/view/135 |
| work_keys_str_mv | AT abdelkaderdahmani finitelogarithmicordermeromorphicsolutionsofcomplexlineardelaydifferentialequations AT benharratbelaidi finitelogarithmicordermeromorphicsolutionsofcomplexlineardelaydifferentialequations |