Solutions of the equation $a_n + (a_{n-1} + \cdots (a_2 + (a_1 + x^{r_1})^{r_2}\cdots )^{r_{n}} = b\, x$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909206179741696 |
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| author | Panazzolo, Daniel |
| author_facet | Panazzolo, Daniel |
| contents | We establish a novel upper bound for the real solutions of the equation specified in the title, employing a generalized derivation-division algorithm. As a consequence, we also derive a new set of Chebyshev functions adapted specifically for this problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_03179 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Solutions of the equation $a_n + (a_{n-1} + \cdots (a_2 + (a_1 + x^{r_1})^{r_2}\cdots )^{r_{n}} = b\, x$ Panazzolo, Daniel Dynamical Systems 37G15, 34C08 We establish a novel upper bound for the real solutions of the equation specified in the title, employing a generalized derivation-division algorithm. As a consequence, we also derive a new set of Chebyshev functions adapted specifically for this problem. |
| title | Solutions of the equation $a_n + (a_{n-1} + \cdots (a_2 + (a_1 + x^{r_1})^{r_2}\cdots )^{r_{n}} = b\, x$ |
| topic | Dynamical Systems 37G15, 34C08 |
| url | https://arxiv.org/abs/2405.03179 |