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| author | tim30b <tim.toenz@ost.ch> | 2022-05-18 13:53:24 +0200 |
|---|---|---|
| committer | tim30b <tim.toenz@ost.ch> | 2022-05-18 13:53:24 +0200 |
| commit | 8cabb06907dbe5d18df7a83d30edea9477d4e643 (patch) | |
| tree | aaf669409ba40b168e76d435300f74a457f8e5ee /buch/papers/laguerre/transformation.tex | |
| parent | Intro chapters (diff) | |
| parent | typos (diff) | |
| download | SeminarSpezielleFunktionen-8cabb06907dbe5d18df7a83d30edea9477d4e643.tar.gz SeminarSpezielleFunktionen-8cabb06907dbe5d18df7a83d30edea9477d4e643.zip | |
Merge remote-tracking branch 'mueller/master'
Diffstat (limited to 'buch/papers/laguerre/transformation.tex')
| -rw-r--r-- | buch/papers/laguerre/transformation.tex | 31 |
1 files changed, 0 insertions, 31 deletions
diff --git a/buch/papers/laguerre/transformation.tex b/buch/papers/laguerre/transformation.tex deleted file mode 100644 index 4de86b6..0000000 --- a/buch/papers/laguerre/transformation.tex +++ /dev/null @@ -1,31 +0,0 @@ -% -% transformation.tex -% -% (c) 2022 Patrik Müller, Ostschweizer Fachhochschule -% -\section{Laguerre Transformation -\label{laguerre:section:transformation}} -\begin{align} - L \left\{ f(x) \right\} - = - \tilde{f}_\alpha(n) - = - \int_0^\infty e^{-x} x^\alpha L_n^\alpha(x) f(x) dx - \label{laguerre:transformation} -\end{align} - -\begin{align} - L^{-1} \left\{ \tilde{f}_\alpha(n) \right\} - = - f(x) - = - \sum_{n=0}^{\infty} - \begin{pmatrix} - n + \alpha \\ - n - \end{pmatrix}^{-1} - \frac{1}{\Gamma(\alpha + 1)} - \tilde{f}_\alpha(n) - L_n^\alpha(x) - \label{laguerre:inverse_transformation} -\end{align}
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