The Exponential Versus the Complex Power ez Function Revisited

Sánchez-Ruiz, Luis M. ; Legua, Matilde (Universidad de Zaragoza) ; Moll-López, Santiago ; Moraño-Fernández, José A. ; Roselló, María-Dolores

Resumen: The complex exponential function exp is a well-known entire function. In this paper, we recall its relation with the definition of the complex power of a complex number, which emanates that the complex power ez may coincide with it at some complex values. Still, on most occasions, the power represents a much broader spectrum of complex values. We also outsight how the software Mathematica may become a valuable tool for evaluating and visualizing complex power functions, in some cases by introducing some specific commands that have not been implemented in the software.

Idioma: Inglés

DOI: 10.3390/math13081306

Año: 2025

Publicado en: Mathematics 13, 8 (2025), 1306 [17 pp.]
ISSN: 2227-7390

Tipo y forma: Artículo (Versión definitiva)

Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)