Category:Mellin Transforms
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This category contains results about Mellin Transforms.
Let $\map f t: \R_{\ge 0} \to \C$ be a function of a real variable $t$.
The Mellin transform of $f$ is defined and denoted as:
- $\ds \map {\MM \set {\map f t} } s := \int_0^{\to +\infty} t^{s - 1} \map f t \rd t$
wherever this improper integral exists.
Here $\map \MM f$ is a complex function of the variable $s$.
Pages in category "Mellin Transforms"
The following 8 pages are in this category, out of 8 total.
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- Mellin Transform of Dirac Delta Function
- Mellin Transform of Dirac Delta Function by Function
- Mellin Transform of Exponential
- Mellin Transform of Heaviside Step Function
- Mellin Transform of Heaviside Step Function/Corollary
- Mellin Transform of Higher Order Exponential
- Mellin Transform of Power Times Function