Frobenius method for Mahler equations
Fuente:
arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866915201588133888 |
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| author | Roques, Julien |
| author_facet | Roques, Julien |
| contents | Using Hahn series, one can attach to any linear Mahler equation a basis of solutions at 0 reminiscent of the solutions of linear differential equations at a regular singularity. We show that such a basis of solutions can be produced by using a variant of Frobenius method. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12995 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Frobenius method for Mahler equations Roques, Julien Symbolic Computation Using Hahn series, one can attach to any linear Mahler equation a basis of solutions at 0 reminiscent of the solutions of linear differential equations at a regular singularity. We show that such a basis of solutions can be produced by using a variant of Frobenius method. |
| title | Frobenius method for Mahler equations |
| topic | Symbolic Computation |
| url | https://arxiv.org/abs/2503.12995 |