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

Published 6 May 2024 in math.DS | (2405.03179v2)

Abstract: 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.

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