Solutions of the equation an+(an-1+⋯(a2+(a1+xr1)r2)⋯)rn = bx

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Solutions of the equation a_n+(a_n-1+⋯(a₂+(a₁+x^r₁)^r₂)⋯)^r_n= bx

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Author(s):	Panazzolo, Daniel Total Authors: 1
Document type:	Journal article
Source:	SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES; v. N/A, p. 22-pg., 2024-07-22.
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. (AU)

FAPESP's process:	23/02959-5 - Non-Smooth Systems and Singular Perturbations
Grantee:	Paulo Ricardo da Silva
Support Opportunities:	Regular Research Grants