Decomposition of Functions of Finite Analytical Complexity
Valerii Konstantinovich Beloshapka · Journal of Siberian Federal University Mathematics & Physics · 2018
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.