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