1 citations · 2 across the 3 of their papers we have counts for
4 papers
Nested formulas for cosine and inverse cosine functions based on Viète's formula for
Artur Kawalec
In this article, we develop nested representations for cosine and inverse cosine functions, which is a generalization of Viète's formula for . We explore a natural inverse relat…
On the complex magnitude of Dirichlet beta function
Artur Kawalec
In this article, we derive an expression for the complex magnitude of the Dirichlet beta function represented as a Euler prime product and compare with similar results for t…
Asymptotic formulas for harmonic series in terms of a non-trivial zero on the critical line
Artur Kawalec
In this article, we develop two types of asymptotic formulas for harmonic series in terms of single non-trivial zeros of the Riemann zeta function on the critical line. The series…
Prime product formulas for the Riemann zeta function and related identities
Artur Kawalec
In this article, we derive a Euler prime product formula for the magnitude of the Riemann zeta function valid for , as well as similar formulas for valid fo…