Hamani, Karima and Belaidi, Benharrat (2011) Growth of solutions of linear differential equations with entire coefficients. ACTA MATHEMATICA ACADEMIAE PAEDAGOGICAE NYÍREGYHÁZIENSIS, 27 (1). pp. 61-76. ISSN 0866-0174
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Abstract
In this paper, we investigate the growth of solutions of higher order homogeneous linear differential equations with entire coefficients. We improve and extend the results of Belaidi and Hamouda by using the estimates for the logarithmic derivative of a transcendental meromorphic function due to Gundersen and the Wiman-Valiron theory. We also consider the nonhomogeneous linear differential equations.
| Item Type: | Article |
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| Uncontrolled Keywords: | Linear differential equations, meromorphic function, hyper-order, iterated order |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | Zsolt Baráth |
| Date Deposited: | 02 Feb 2024 11:36 |
| Last Modified: | 02 Feb 2024 11:36 |
| URI: | http://real.mtak.hu/id/eprint/187160 |
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