Higher moments of the stretched exponential function
Set
| definiendum | $\mathrm{it}: \mathbb R^3 \to \mathbb R$ |
| definiendum | $\langle \tau_K,\beta,n \rangle \mapsto \int_0^\infty\ \ t^{n-1}\ \mathrm{e}^{-(t/\tau_K)^\beta}\ \mathrm d t$ |
Discussion
Theorems
| $ \mathrm{it}(\tau_K,\beta,n)=\frac{\tau_K^n}{\beta}\Gamma(\frac{n}{\beta}) $ |
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Reference
Wikipedia: Stretched exponential function
Parents
Context
Related
