A numerical investigation on the structure of the zeros of Euler polynomials
Summary: Using numerical investigation, we observe the behavior of complex roots of the Euler polynomials \(E_n(x)\). By means of numerical experiments, we demonstrate a remarkably regular structure of the complex roots of the Euler polynomials \(E_n(x)\). Finally, we show the Julia set of Newton iteration function \(R(x) = x - E_n(x) / E_n'(x)\).
scientific article; zbMATH DE number 7025247
scientific article