Corollary: Reciprocity of Complex Exponential Function, Non-Zero Property

(related to Proposition: Functional Equation of the Complex Exponential Function)

The complex exponential function is never zero (non-zero property) \[\exp(x)\neq 0\] for all \(x\in\mathbb C\), and it fulfills the following reciprocity law:

\[\exp(-x)=\frac1{\exp(x)}.\]

Proofs: 1

Proofs: 1


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References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983