On the hyper-order of analytic solutions of linear differential equations near a finite singular point

Meryem Chetti; Karima Hamani

Mathematica Bohemica (2024)

  • Volume: 149, Issue: 4, page 569-583
  • ISSN: 0862-7959

Abstract

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We study the hyper-order of analytic solutions of linear differential equations with analytic coefficients having the same order near a finite singular point. We improve previous results given by S. Cherief and S. Hamouda (2021). We also consider the nonhomogeneous linear differential equations.

How to cite

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Chetti, Meryem, and Hamani, Karima. "On the hyper-order of analytic solutions of linear differential equations near a finite singular point." Mathematica Bohemica 149.4 (2024): 569-583. <http://eudml.org/doc/299604>.

@article{Chetti2024,
abstract = {We study the hyper-order of analytic solutions of linear differential equations with analytic coefficients having the same order near a finite singular point. We improve previous results given by S. Cherief and S. Hamouda (2021). We also consider the nonhomogeneous linear differential equations.},
author = {Chetti, Meryem, Hamani, Karima},
journal = {Mathematica Bohemica},
keywords = {linear differential equation; hyper-order; a finite singular point; Nevanlinna theory},
language = {eng},
number = {4},
pages = {569-583},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the hyper-order of analytic solutions of linear differential equations near a finite singular point},
url = {http://eudml.org/doc/299604},
volume = {149},
year = {2024},
}

TY - JOUR
AU - Chetti, Meryem
AU - Hamani, Karima
TI - On the hyper-order of analytic solutions of linear differential equations near a finite singular point
JO - Mathematica Bohemica
PY - 2024
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 149
IS - 4
SP - 569
EP - 583
AB - We study the hyper-order of analytic solutions of linear differential equations with analytic coefficients having the same order near a finite singular point. We improve previous results given by S. Cherief and S. Hamouda (2021). We also consider the nonhomogeneous linear differential equations.
LA - eng
KW - linear differential equation; hyper-order; a finite singular point; Nevanlinna theory
UR - http://eudml.org/doc/299604
ER -

References

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  4. Cherief, S., Hamouda, S., 10.1007/s41980-020-00469-4, Bull. Iran. Math. Soc. 47 (2021), 1737-1749. (2021) Zbl1474.34617MR4329925DOI10.1007/s41980-020-00469-4
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  6. Fettouch, H., Hamouda, S., Growth of local solutions to linear differential around an isolated essential singularity, Electron. J. Diff. Equs. 2016 (2016), Article ID 226, 10 pages. (2016) Zbl1352.34113MR3547415
  7. Hamouda, S., 10.1016/j.jmaa.2017.10.005, J. Math. Anal. Appl. 458 (2018), 992-1008. (2018) Zbl1382.34097MR3724712DOI10.1016/j.jmaa.2017.10.005
  8. Hayman, W. K., 10.4153/CMB-1974-064-0, Can. Math. Bull. 17 (1974), 317-358. (1974) Zbl0314.30021MR0385095DOI10.4153/CMB-1974-064-0
  9. Kwon, K.-H., 10.2996/kmj/1138043654, Kodai Math. J. 19 (1996), 378-387. (1996) Zbl0879.34006MR1418569DOI10.2996/kmj/1138043654
  10. Laine, I., 10.1515/9783110863147, de Gruyter Studies in Mathematics 15. Walter de Gruyter, Berlin (1993). (1993) Zbl0784.30002MR1207139DOI10.1515/9783110863147

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