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%%  Ein Beispiel der DANTE-Edition
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%%  Beispiel 10-08-7 auf Seite 532.
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%%  Copyright (C) 2016 Herbert Voss
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%% ==makeglossaries== 
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\pagestyle{empty}
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\usepackage{microtype}
\usepackage{babel}
\usepackage{amsmath} \allowdisplaybreaks
\makeatletter\@addtoreset{equation}{section}\makeatother
\newcommand\erf{\operatorname{erf}}
\newcommand\erfc{\operatorname{erfc}}
\newcommand\dt{\,\mathrm{d}t}
%StartShownPreambleCommands
\usepackage[colorlinks]{hyperref}
\usepackage[style=long3colheader,counter=equation]{glossaries} \makeglossaries
\loadglsentries{data/verzeichnisse/glossdata3.txt}
\renewcommand\entryname{Funktion}\renewcommand\descriptionname{Beschreibung}
\renewcommand\pagelistname{Gl.}\renewcommand*\theHequation{\theHsection.\arabic{equation}}
\renewcommand\theequation{\thesection.\arabic{equation}}
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\begin{document}
\printglossary[title={Index der mathematischen Gleichungen}]
\section{Gammafunktionen}
\begin{equation}\gls{Gamma}=\int_{0}^{\infty}e^{-t}t^{z-1}\dt\end{equation}
\begin{equation}\glslink{Gamma}{\ensuremath{\Gamma(x+1)}}=x\Gamma(x)\end{equation}
\begin{equation}\gls{gamma}=\int_0^x e^{-t}t^{\alpha-1}\dt\end{equation}
\begin{equation}\gls{iGamma}=\int_x^\infty e^{-t}t^{\alpha-1}\dt\end{equation}
\section{Fehlerfunktionen}
\begin{equation}\gls{erf}=\frac{2}{\surd\pi}\int_0^x e^{-t^2}\dt\end{equation}
\begin{equation}\gls{erfc}=1 - \erf(x)\end{equation}
\section{Betafunktionen}
\begin{equation}\gls{B}=2\int_0^1 t^{x-1}(1-t^2)^{y-1}\dt\end{equation}
\begin{equation}\gls{B}=2\int_0^{\frac\pi2}\sin^{2x-1}\phi\cos^{2y-1}
     \phi\mathrm{d}\phi\end{equation}
\begin{equation}\gls{B}=\frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)}=B(y,x)\end{equation}
\begin{equation}\gls{Bx}=\int_0^x t^{p-1}(1-t)^{q-1}\dt\end{equation}
\section{Hypergeometrische Funktionen}
\begin{align} \gls{Phi} &= 1 + \frac{\alpha}{\gamma}\,\frac{z}{1!}
  +\frac{\alpha(\alpha+1)}{\gamma(\gamma+1)}\,\frac{z^2}{2!}
  +\frac{\alpha(\alpha+1)(\alpha+2)}{\gamma(\gamma+1)(\gamma+2)}\\\nonumber
  &\,\frac{z^3}{3!} + \cdots
\end{align}
\end{document}
