Growth of (α,\b{eta},γ)-order solutions of linear differential equations with analytic coefficients in the unit disc
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
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2025
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| _version_ | 1866912793348800512 |
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| author | Arrouche, Amina Halima Belaïdi, Benharrat |
| author_facet | Arrouche, Amina Halima Belaïdi, Benharrat |
| contents | 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,\b{eta},γ)-order. By employing the concepts of (α,\b{eta},γ)-order and (α,\b{eta},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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_23083 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Growth of (α,\b{eta},γ)-order solutions of linear differential equations with analytic coefficients in the unit disc Arrouche, Amina Halima Belaïdi, Benharrat Complex Variables 30D35, 34M10 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,\b{eta},γ)-order. By employing the concepts of (α,\b{eta},γ)-order and (α,\b{eta},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. |
| title | Growth of (α,\b{eta},γ)-order solutions of linear differential equations with analytic coefficients in the unit disc |
| topic | Complex Variables 30D35, 34M10 |
| url | https://arxiv.org/abs/2512.23083 |