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Proposition: Functional Equation of the Exponential Function

For all real numbers \(x,y\in\mathbb R\), the exponential function fulfills the following equation:

\[\exp(x+y)=\exp(x)\cdot \exp(y).\]

Table of Contents

Proofs: 1 Corollaries: 1 2 3 4

Mentioned in:

Examples: 1
Proofs: 2 3 4 5 6

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References

Bibliography

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