Geodesic
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.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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.
DOI : 10.21136/MB.2020.0148-19
Classification : 30D35, 34M10
Keywords: linear differential equation; growth of solution; finite singular point 
@article{10_21136_MB_2020_0148_19,
     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},
     publisher = {mathdoc},
     volume = {146},
     number = {3},
     year = {2021},
     doi = {10.21136/MB.2020.0148-19},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.2020.0148-19/}
}
TY  - JOUR
AU  - Cherief, Samir
AU  - Hamouda, Saada
TI  - Finite and infinite order of growth of solutions to linear differential equations near a singular point
JO  - Mathematica Bohemica
PY  - 2021
SP  - 315
EP  - 332
VL  - 146
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.2020.0148-19/
DO  - 10.21136/MB.2020.0148-19
LA  - en
ID  - 10_21136_MB_2020_0148_19
ER  - 
%0 Journal Article
%A Cherief, Samir
%A Hamouda, Saada
%T Finite and infinite order of growth of solutions to linear differential equations near a singular point
%J Mathematica Bohemica
%D 2021
%P 315-332
%V 146
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.2020.0148-19/
%R 10.21136/MB.2020.0148-19
%G en
%F 10_21136_MB_2020_0148_19
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. http://geodesic.mathdoc.fr/articles/10.21136/MB.2020.0148-19/

Cité par Sources :