Geodesic
Decomposition of functions of finite analytical complexity
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 6, pp. 680-685

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Functions of two variables can be obtained from functions of one variable by substitutions and additions. Each composition scheme corresponds to a class of functions of two variables, such that they can be represented as a composition with this scheme. It was shown that each class consists of analytical solutions of a certain system of differential polynomials (equations of the class). The paper describes an algorithm for constructing a system of equations of the scheme and for obtaining function representation in the form of a composition with this scheme.
Keywords: representation of the functions.
Mots-clés : decomposition scheme 
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     title = {Decomposition of functions of finite analytical complexity},
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Valery K. Beloshapka. Decomposition of functions of finite analytical complexity. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 11 (2018) no. 6, pp. 680-685. http://geodesic.mathdoc.fr/item/JSFU_2018_11_6_a2/