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| author | Andrea Mozzini Vellen <amozzinivellen@gmail.com> | 2022-05-18 13:56:49 +0200 |
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| committer | Andrea Mozzini Vellen <amozzinivellen@gmail.com> | 2022-05-18 13:56:49 +0200 |
| commit | 6d37c92f2e91f4982d7f8ed8c979e5c4039a263e (patch) | |
| tree | 6bab1863975214f6ca5bf68a8f2227a1fbb8517d /buch/papers/laguerre/transformation.tex | |
| parent | Ersten Entwurf (diff) | |
| parent | Merge remote-tracking branch 'mueller/master' (diff) | |
| download | SeminarSpezielleFunktionen-6d37c92f2e91f4982d7f8ed8c979e5c4039a263e.tar.gz SeminarSpezielleFunktionen-6d37c92f2e91f4982d7f8ed8c979e5c4039a263e.zip | |
Merge branch 'master' of github.com:HeadAndToes/SeminarSpezielleFunktionen
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| -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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