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The Exponential Versus the Complex Power ez Function Revisited

Year: 2025
Type: article
Abstract: 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.
Source: Mathematics
Language: English
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W4409503268
FWCI: 0.765
Cites: 12
Cited by: 1
Related to: 10