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| author | Patrik Müller <patrik.mueller@ost.ch> | 2022-05-12 18:21:25 +0200 |
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| committer | Patrik Müller <patrik.mueller@ost.ch> | 2022-05-12 18:21:25 +0200 |
| commit | 7397861ade0537bf8e501fa87bd57653d932d459 (patch) | |
| tree | d3949a03bf335a29ea426408b852c2eb28698e2e /buch/papers/laguerre/transformation.tex | |
| parent | Derive Laguerre-Polynomials from Laguerre-ODE, proof orthogonality with Sturm... (diff) | |
| download | SeminarSpezielleFunktionen-7397861ade0537bf8e501fa87bd57653d932d459.tar.gz SeminarSpezielleFunktionen-7397861ade0537bf8e501fa87bd57653d932d459.zip | |
Remove deprecated files
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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