On the hyper-order of analytic solutions of linear differential equations near a finite singular point
Meryem Chetti, Karima Hamani
Received May 09, 2023. Published online March 21, 2024.
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.
Keywords: linear differential equation; hyper-order; a finite singular point; Nevanlinna theory
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Affiliations: Meryem Chetti, Karima Hamani (correspoding author), Laboratory of Pure and Applied Mathematics, Department of Mathematics, Faculty of Exact Sciences and Computer Science, University of Mostaganem (UMAB), Site 2, Zaghloul, Mostaganem, Algeria, e-mail: meryem.chetti.etu@univ-mosta.dz, karima.hamani@univ-mosta.dz
