Finite and infinite order of growth of solutions to linear differential equations near a singular point
Mathematica Bohemica, Tome 146 (2021) no. 3, pp. 315-332
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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.
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.
Classification :
30D35, 34M10
Keywords: linear differential equation; growth of solution; finite singular point
Keywords: linear differential equation; growth of solution; finite singular point
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author = {Cherief, Samir and Hamouda, Saada},
title = {Finite and infinite order of growth of solutions to linear differential equations near a singular point},
journal = {Mathematica Bohemica},
pages = {315--332},
year = {2021},
volume = {146},
number = {3},
doi = {10.21136/MB.2020.0148-19},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2020.0148-19/}
}
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Cherief, Samir; Hamouda, Saada. Finite and infinite order of growth of solutions to linear differential equations near a singular point. Mathematica Bohemica, Tome 146 (2021) no. 3, pp. 315-332. doi: 10.21136/MB.2020.0148-19
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