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: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
Exportado de SIDERAL (2025-10-17-14:18:16)
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Idioma: Inglés
DOI: 10.3390/math13081306
Año: 2025
Publicado en: Mathematics 13, 8 (2025), 1306 [17 pp.]
ISSN: 2227-7390
Tipo y forma: Article (Published version)
Área (Departamento): Área Matemática Aplicada (Dpto. Matemática Aplicada)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. Exportado de SIDERAL (2025-10-17-14:18:16)
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Record created 2025-05-20, last modified 2025-10-17