Generalized \(w\)-Euler numbers and polynomials
Summary: We generalize the Euler numbers and polynomials by the generalized \(w\)-Euler numbers \(E_{n, w}(a)\) and polynomials \(E_{n, w}(x : a)\). For the complement theorem, \(E_{n, w}(x : a)\) have interesting different properties from the Euler polynomials and we observe an interesting phenomenon of ``scattering'' of the zeros of the the generalized Euler polynomials \(E_{n, w}(x : a)\) in complex plane.
scientific article; zbMATH DE number 6172953
scientific article