Properties of sums of some elementary functions and modeling of transitional and other processes

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The article presents mathematical generalization of results which originated as solutions of practical problems, in particular, the modeling of transitional processes in electrical circuits and problems of resource allocation.

• However, the presented findings have broader meaning and can be used for approximation of transitional and other processes in different areas of science and technology.
• We present discovered properties of sums of polynomial, power, and exponential functions of one variable.
• It is shown that for an equation composed of one type of function there is a corresponding equation composed of functions of the other type.