Amina Halima Arrouche, Benharrat Belaidi
Abstract:
In this article, we investigate the growth of solutions of higher-order
complex linear differential equations in the unit disc, with analytic
coefficients of finite \((\alpha ,\beta, \gamma)\)-order. By using the
concepts of \((\alpha ,\beta ,\gamma)\)-order and
\((\alpha, \beta, \gamma)\)-type, we establish new results concerning the growth
of such solutions. Our results extend and generalize earlier works of
Heittokangas et al., Hamouda, Semochko, Tu and Huang, as well as those of the
second author with Biswas.
Submitted March 7, 2026. Published June 29, 2026.
Math Subject Classifications: 30D35, 34M10.
Key Words: Complex differential equations; (alpha, beta, gamma)-order; growth of solutions; unit disc.
DOI: 10.58997/ejde.2026.46
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Amina Halima Arrouche Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem (UMAB) B. P. 227 Mostaganem, Algeria email: aminahalima.arrouche@etu.univ-mosta.dz |
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Benharrat Belaidi Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem (UMAB) B. P. 227 Mostaganem, Algeria email: benharrat.belaidi@univ-mosta.dz |
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