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author | JODBaer <55744603+JODBaer@users.noreply.github.com> | 2022-05-15 15:38:10 +0200 |
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committer | GitHub <noreply@github.com> | 2022-05-15 15:38:10 +0200 |
commit | f176135c17eacc124e6ad3ed84ca805323bcbee7 (patch) | |
tree | 9a496cb9f67b42f566e4c05a7be5d0024beb9358 /buch/papers/laguerre/transformation.tex | |
parent | Merge branch 'AndreasFMueller:master' into master (diff) | |
parent | typos (diff) | |
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Merge branch 'AndreasFMueller:master' into master
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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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