About some application of the Rademacher function

Abstract

The paper details the process of generalizing the classical Viyet formula expressed as infinite products
of the number using Rademacher functions. This study presents the mathematical foundations of
Rademacher functions and their application to the Viyet formula, which led to various forms of the
number expressed as infinite products. These products have not been previously identified or have been
insufficiently investigated in previous scientific works. The approaches proposed in the paper open the
possibility of identifying new, previously unknown forms of infinite products.