Finite and infinite order of growth of solutions to linear differential equations near a singular point

Samir Cherief; Saada Hamouda

Mathematica Bohemica (2021)

  • Volume: 146, Issue: 3, page 315-332
  • ISSN: 0862-7959

Abstract

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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.

How to cite

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Cherief, Samir, and Hamouda, Saada. "Finite and infinite order of growth of solutions to linear differential equations near a singular point." Mathematica Bohemica 146.3 (2021): 315-332. <http://eudml.org/doc/298135>.

@article{Cherief2021,
abstract = {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.},
author = {Cherief, Samir, Hamouda, Saada},
journal = {Mathematica Bohemica},
keywords = {linear differential equation; growth of solution; finite singular point},
language = {eng},
number = {3},
pages = {315-332},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Finite and infinite order of growth of solutions to linear differential equations near a singular point},
url = {http://eudml.org/doc/298135},
volume = {146},
year = {2021},
}

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
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 146
IS - 3
SP - 315
EP - 332
AB - 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.
LA - eng
KW - linear differential equation; growth of solution; finite singular point
UR - http://eudml.org/doc/298135
ER -

References

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