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Abstract

By using of rates of limit productivity’s growth d_ij in this work, the following fundamental theorems for one-level production functions  with constant elasticity of substitution are proved. With these sentences the building of all such function is possible. However, for the construction of almost all such functions we have a simple theorem.

The smooth function of one –level production function with constant elasticity of substitution is the  function with the same constant of elasticity of substitution.