GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANE
In this paper, we study the growth of solutions of higher order linear differential equations with meromorphic coefficients of \(\varphi\)-order on the complex plane. By considering the concepts of \(\varphi\)-order and \(\varphi \)-type, we will extend and improve many previous results due to Chyzh...
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Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics
2020-07-01
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| Series: | Ural Mathematical Journal |
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| Online Access: | https://umjuran.ru/index.php/umj/article/view/214 |
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| author | Mohamed Abdelhak Kara Benharrat Belaïdi |
| author_facet | Mohamed Abdelhak Kara Benharrat Belaïdi |
| author_sort | Mohamed Abdelhak Kara |
| collection | DOAJ |
| description | In this paper, we study the growth of solutions of higher order linear differential equations with meromorphic coefficients of \(\varphi\)-order on the complex plane. By considering the concepts of \(\varphi\)-order and \(\varphi \)-type, we will extend and improve many previous results due to Chyzhykov–Semochko, Belaïdi, Cao–Xu–Chen, Kinnunen. |
| format | Article |
| id | doaj-art-dcf1e4df0eae4cfc9995ed92ec76d3ab |
| institution | DOAJ |
| issn | 2414-3952 |
| language | English |
| publishDate | 2020-07-01 |
| publisher | Ural Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and Mechanics |
| record_format | Article |
| series | Ural Mathematical Journal |
| spelling | doaj-art-dcf1e4df0eae4cfc9995ed92ec76d3ab2025-08-20T02:51:28ZengUral Branch of the Russian Academy of Sciences and Ural Federal University named after the first President of Russia B.N.Yeltsin, Krasovskii Institute of Mathematics and MechanicsUral Mathematical Journal2414-39522020-07-016110.15826/umj.2020.1.00894GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANEMohamed Abdelhak Kara0Benharrat Belaïdi1Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), B. P. 227 MostaganemDepartment of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), B. P. 227 MostaganemIn this paper, we study the growth of solutions of higher order linear differential equations with meromorphic coefficients of \(\varphi\)-order on the complex plane. By considering the concepts of \(\varphi\)-order and \(\varphi \)-type, we will extend and improve many previous results due to Chyzhykov–Semochko, Belaïdi, Cao–Xu–Chen, Kinnunen.https://umjuran.ru/index.php/umj/article/view/214linear differential equations, entire function, meromorphic function, \(\varphi \)-order, \(\varphi \)-type. |
| spellingShingle | Mohamed Abdelhak Kara Benharrat Belaïdi GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANE Ural Mathematical Journal linear differential equations, entire function, meromorphic function, \(\varphi \)-order, \(\varphi \)-type. |
| title | GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANE |
| title_full | GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANE |
| title_fullStr | GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANE |
| title_full_unstemmed | GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANE |
| title_short | GROWTH OF \(\varphi\)–ORDER SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS ON THE COMPLEX PLANE |
| title_sort | growth of varphi order solutions of linear differential equations with meromorphic coefficients on the complex plane |
| topic | linear differential equations, entire function, meromorphic function, \(\varphi \)-order, \(\varphi \)-type. |
| url | https://umjuran.ru/index.php/umj/article/view/214 |
| work_keys_str_mv | AT mohamedabdelhakkara growthofvarphiordersolutionsoflineardifferentialequationswithmeromorphiccoefficientsonthecomplexplane AT benharratbelaidi growthofvarphiordersolutionsoflineardifferentialequationswithmeromorphiccoefficientsonthecomplexplane |