Mathematica Bohemica, Vol. 146, No. 3, pp. 315-332, 2021
Finite and infinite order of growth of solutions to linear differential equations near a singular point
Samir Cherief, Saada Hamouda
Received October 20, 2019. Published online October 6, 2020.
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.
Keywords: linear differential equation; growth of solution; finite singular point
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Affiliations: Samir Cherief, Saada Hamouda, 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: samir.cherief@univ-mosta.dz, saada.hamouda@univ-mosta.dz
