On the hyper-order of analytic solutions of linear differential equations near a finite singular point
We study the hyper-order of analytic solutions of linear differential equations with analytic coefficients having the same order near a finite singular point. We improve previous results given by S. Cherief and S. Hamouda (2021). We also consider the nonhomogeneous linear differential equations.
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| Format: | Article |
| Language: | English |
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Institute of Mathematics of the Czech Academy of Science
2024-12-01
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| Series: | Mathematica Bohemica |
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| Online Access: | https://mb.math.cas.cz/full/149/4/mb149_4_7.pdf |
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| _version_ | 1846140150199877632 |
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| author | Meryem Chetti Karima Hamani |
| author_facet | Meryem Chetti Karima Hamani |
| author_sort | Meryem Chetti |
| collection | DOAJ |
| description | We study the hyper-order of analytic solutions of linear differential equations with analytic coefficients having the same order near a finite singular point. We improve previous results given by S. Cherief and S. Hamouda (2021). We also consider the nonhomogeneous linear differential equations. |
| format | Article |
| id | doaj-art-b54cadb184534b3fb24a9596973bce95 |
| institution | Kabale University |
| issn | 0862-7959 2464-7136 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | Institute of Mathematics of the Czech Academy of Science |
| record_format | Article |
| series | Mathematica Bohemica |
| spelling | doaj-art-b54cadb184534b3fb24a9596973bce952024-12-05T17:45:28ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362024-12-01149456958310.21136/MB.2024.0075-23MB.2024.0075-23On the hyper-order of analytic solutions of linear differential equations near a finite singular pointMeryem ChettiKarima HamaniWe study the hyper-order of analytic solutions of linear differential equations with analytic coefficients having the same order near a finite singular point. We improve previous results given by S. Cherief and S. Hamouda (2021). We also consider the nonhomogeneous linear differential equations.https://mb.math.cas.cz/full/149/4/mb149_4_7.pdf linear differential equation hyper-order a finite singular point nevanlinna theory |
| spellingShingle | Meryem Chetti Karima Hamani On the hyper-order of analytic solutions of linear differential equations near a finite singular point Mathematica Bohemica linear differential equation hyper-order a finite singular point nevanlinna theory |
| title | On the hyper-order of analytic solutions of linear differential equations near a finite singular point |
| title_full | On the hyper-order of analytic solutions of linear differential equations near a finite singular point |
| title_fullStr | On the hyper-order of analytic solutions of linear differential equations near a finite singular point |
| title_full_unstemmed | On the hyper-order of analytic solutions of linear differential equations near a finite singular point |
| title_short | On the hyper-order of analytic solutions of linear differential equations near a finite singular point |
| title_sort | on the hyper order of analytic solutions of linear differential equations near a finite singular point |
| topic | linear differential equation hyper-order a finite singular point nevanlinna theory |
| url | https://mb.math.cas.cz/full/149/4/mb149_4_7.pdf |
| work_keys_str_mv | AT meryemchetti onthehyperorderofanalyticsolutionsoflineardifferentialequationsnearafinitesingularpoint AT karimahamani onthehyperorderofanalyticsolutionsoflineardifferentialequationsnearafinitesingularpoint |