| Title:
|
Finite and infinite order of growth of solutions to linear differential equations near a singular point (English) |
| Author:
|
Cherief, Samir |
| Author:
|
Hamouda, Saada |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
146 |
| Issue:
|
3 |
| Year:
|
2021 |
| Pages:
|
315-332 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
linear differential equation |
| Keyword:
|
growth of solution |
| Keyword:
|
finite singular point |
| MSC:
|
30D35 |
| MSC:
|
34M10 |
| DOI:
|
10.21136/MB.2020.0148-19 |
| . |
| Date available:
|
2021-08-18T08:25:01Z |
| Last updated:
|
2021-08-18 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149073 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
