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+%
+% 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}
+\ No newline at end of file