Geodesic
On functions of finite analytical complexity
Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 83 (2022) no. 1, pp. 1-16

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We construct examples of polynomials and analytic functions of any predetermined finite analytical complexity $n$. We obtain an estimate of the order of derivative of the differential-algebraic criteria for membership in the class $Cl_n$ of functions of analytical complexity not higher than $n$. We find uniform estimates for finite values $d_n$ of the analytic spectrum $\{d_n\}$ for systems of differential-algebraic equations of fixed order of derivative $\delta$. 
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     author = {M. A. Stepanova},
     title = {On functions of finite analytical complexity},
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     year = {2022},
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     url = {http://geodesic.mathdoc.fr/item/MMO_2022_83_1_a0/}
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M. A. Stepanova. On functions of finite analytical complexity. Trudy Moskovskogo matematičeskogo obŝestva, Trudy Moskovskogo Matematicheskogo Obshchestva, Tome 83 (2022) no. 1, pp. 1-16. http://geodesic.mathdoc.fr/item/MMO_2022_83_1_a0/