Construction of a Production Function in the Form of Series of Exponents of a Function of a Complex Variable (On the Example of the Poland 1997-2020)

Economic and mathematical models allow researchers to find out the causal relationship between various economic indicators and determine internal and external factors of interaction. Production functions allow us to model the dependence of the dynamics of factors of production on the dynamics of economic growth.Interpolation of numerical series by a number of exponents of the function of a complex variable allows achieving good results of approximation of numerical series by analytical functions. Large international corporations and government agencies have a need for prompt accurate and information related to the state of the economy for making managerial decisions.According to the author, approximation methods dominate in modern economic and mathematical models, an example of this is regression analysis. At the same time, interpolation methods in economic analysis are undeservedly relegated to the background. Therefore, within the framework of this study, a production function of 24 Poland with parameters was constructed based on the interpolation of numerical series from 24 series of exponents of the function of a complex variable.Y=Re∑(i=1)24 Ai Wi By interpolating numerical series with series of exponents of a function of a complex variable, it is possible to achieve an approximation accuracy that is not inferior to regression analysis