Solutions of the equation $a_n + (a_{n-1} + \cdots (a_2 + (a_1 + x^{r_1})^{r_2}\cdots )^{r_{n}} = b\, x$ - CNRS - Centre national de la recherche scientifique Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2024

Solutions of the equation $a_n + (a_{n-1} + \cdots (a_2 + (a_1 + x^{r_1})^{r_2}\cdots )^{r_{n}} = b\, x$

Résumé

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.

Dates et versions

hal-04572637 , version 1 (11-05-2024)

Identifiants

Citer

Daniel Panazzolo. Solutions of the equation $a_n + (a_{n-1} + \cdots (a_2 + (a_1 + x^{r_1})^{r_2}\cdots )^{r_{n}} = b\, x$. 2024. ⟨hal-04572637⟩
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