Finite and infinite order of growth of solutions to linear differential equations near a singular point
In this paper, we investigate the growth of solutions of a certain class of linear differential equation where the coefficients are analytic functions in the closed complex plane except at a finite singular point. For that, we will use the value distribution theory of meromorphic functions developed...
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Institute of Mathematics of the Czech Academy of Science
2021-10-01
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| Series: | Mathematica Bohemica |
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| Online Access: | http://mb.math.cas.cz/full/146/3/mb146_3_7.pdf |
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doaj-0b291558dde945c98762a1402c5d998b2021-08-13T05:11:40ZengInstitute of Mathematics of the Czech Academy of ScienceMathematica Bohemica0862-79592464-71362021-10-01146331533210.21136/MB.2020.0148-19MB.2020.0148-19Finite and infinite order of growth of solutions to linear differential equations near a singular pointSamir CheriefSaada HamoudaIn this paper, we investigate the growth of solutions of a certain class of linear differential equation where the coefficients are analytic functions in the closed complex plane except at a finite singular point. For that, we will use the value distribution theory of meromorphic functions developed by Rolf Nevanlinna with adapted definitions.http://mb.math.cas.cz/full/146/3/mb146_3_7.pdf linear differential equation growth of solution finite singular point |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Samir Cherief Saada Hamouda |
| spellingShingle |
Samir Cherief Saada Hamouda Finite and infinite order of growth of solutions to linear differential equations near a singular point Mathematica Bohemica linear differential equation growth of solution finite singular point |
| author_facet |
Samir Cherief Saada Hamouda |
| author_sort |
Samir Cherief |
| title |
Finite and infinite order of growth of solutions to linear differential equations near a singular point |
| title_short |
Finite and infinite order of growth of solutions to linear differential equations near a singular point |
| title_full |
Finite and infinite order of growth of solutions to linear differential equations near a singular point |
| title_fullStr |
Finite and infinite order of growth of solutions to linear differential equations near a singular point |
| title_full_unstemmed |
Finite and infinite order of growth of solutions to linear differential equations near a singular point |
| title_sort |
finite and infinite order of growth of solutions to linear differential equations near a singular point |
| publisher |
Institute of Mathematics of the Czech Academy of Science |
| series |
Mathematica Bohemica |
| issn |
0862-7959 2464-7136 |
| publishDate |
2021-10-01 |
| description |
In this paper, we investigate the growth of solutions of a certain class of linear differential equation where the coefficients are analytic functions in the closed complex plane except at a finite singular point. For that, we will use the value distribution theory of meromorphic functions developed by Rolf Nevanlinna with adapted definitions. |
| topic |
linear differential equation growth of solution finite singular point |
| url |
http://mb.math.cas.cz/full/146/3/mb146_3_7.pdf |
| work_keys_str_mv |
AT samircherief finiteandinfiniteorderofgrowthofsolutionstolineardifferentialequationsnearasingularpoint AT saadahamouda finiteandinfiniteorderofgrowthofsolutionstolineardifferentialequationsnearasingularpoint |
| _version_ |
1721209053720346624 |