Growth of (α,\beta,γ)-order solutions of linear differential equations with analytic coefficients in the unit disc

2025/12/28 by Amina Halima Arrouche, Arrouche, Amina Halima, Benharrat Belaïdi +1
Mathematics · #Meromorphic and Entire Functions #Advanced Differential Equations and Dynamical Systems #Holomorphic and Operator Theory

paper · doi:10.48550/arxiv.2512.23083

Abstract

In this paper, we study the growth of solutions to higher-order complex linear differential equations in the unit disc, where the analytic coefficients are of finite (α,\beta,γ)-order. By employing the concepts of (α,\beta,γ)-order and (α,\beta,γ)-type, we establish new results concerning the growth of such solutions. These results extend and generalize previous work by the second author and by Biswas.

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