Multipower Functions and the Multipower Nature of the Gauss Curve on the Probability Distribution

The present work aims to introduce and analyze a new type of mathematical functions (seen from the author’s perspective), which we will call, for the purposes of the Study, Multiponential Functions, focusing on for the functional approach to the Normal Curve or Gauss Curve, inherent to the Normal Distribution of Probability.
The present research is an indirect consequence of a previous study, carried out by the author, which he called Theory of Numerical Fluxes, which resulted in the publication of a book in Portugal (with parallel publications in Mozambique and Brazil).
In that book, mathematical objects proposed by the author are introduced and studied, which he called Numerical Flows, such objects are closely linked to Arithmetic and Geometric Progressions of Higher Order.
The concepts of Arithmetic and Geometric Progression, of Higher Order, are exposed and discussed in the referred book (pages 45 and 57, respectively).
In the present Study, I will take the liberty of treating the reader as endowed with general mathematical knowledge, considering, as a result, aspects not directly linked to the main subject of the Study, may be relegated to a separate consultation (General Literature), we will proceed in this way in order not to overload the search.