@@ -1,83 +1,83 @@
-\documentstyle[11pt,reduce]{article}
-\title{{\tt ghyper}, a package for simplification of \\
-generalized hypergeometric functions}
-\date{}
-\author{Victor S. Adamchik\\
-        Wolfram Research Inc. \\
-        former address : \\
-        Byelorussian University, Minsk, Byelorussia\\
-\\
-\\
-        Present \REDUCE{} form by \\
-        Winfried Neun \\
-        ZIB Berlin \\
-        Email: {\tt Neun@sc.ZIB-Berlin.de}}
-\begin{document}
-\maketitle
-
-This note describes the {\tt ghyper} package of \REDUCE{}, which is able
-to do simplification of several cases of generalized hypergeometric functions.
-The simplifications are performed towards polynomials, elementary or
-special functions or simpler hypergeometric functions.
-Therefore this package should be used together with the \REDUCE{}
-special function package.
-
-\section{Introduction}
-
-The (generalized) hypergeometric functions
-
-\begin{displaymath}
-_pF_q \left( {{a_1, \ldots , a_p} \atop {b_1, \ldots ,b_q}} \Bigg\vert z \right)
-\end{displaymath}
-
-are defined in textbooks on special functions, e.g. in
-\cite{Prudnikov:90}. Many well-known functions belong to this class,
-e.g. exponentials, logarithms, trigonometric functions and Bessel functions.
-In \cite{Graham:89} an introduction into the analysis of sums, basic
-identities and applications can be found.
-
-Several hundreds of particular values can be found in \cite{Prudnikov:90}.
-
-\section{\REDUCE{} operator {\tt hypergeometric}}
-
-The operator {\tt hypergeometric} expects 3 arguments, namely the
-list of upper parameters (which may be empty), the list of lower
-parameters (which may be empty too), and the argument, e.g:
-
-\begin{verbatim}
-
-hypergeometric ({},{},z);
-
- Z
-E
-
-hypergeometric ({1/2,1},{3/2},-x^2);
-
- ATAN(X)
----------
-    X
-\end{verbatim}
-
-\section{Enlarging the {\tt hypergeometric} operator}
-
-Since hundreds of particular cases for the generalized hypergeometric
-functions can be found in the literature, one cannot expect that all
-cases are known to the {\tt hypergeometric} operator.
-Nevertheless the set of special cases can be augmented by adding
-rules to the \REDUCE{} system, e.g.
-
-\begin{verbatim}
-let {hypergeometric({1/2,1/2},{3/2},-(~x)^2) => asinh(x)/x};
-\end{verbatim}
-
-\begin{thebibliography}{9}
-
-\bibitem{Prudnikov:90} A.~P.~Prudnikov, Yu.~A.~Brychkov, O.~I.~Marichev,
-{\em Integrals and Series, Volume 3: More special functions},
-Gordon and Breach Science Publishers (1990).
-
-\bibitem{Graham:89} R.~L.~Graham, D.~E.~Knuth, O.~Patashnik,
-{\em Concrete Mathematics}, Addison-Wesley Publishing Company (1989).
-
-\end{thebibliography}
-\end{document}
+\documentstyle[11pt,reduce]{article}
+\title{{\tt ghyper}, a package for simplification of \\
+generalized hypergeometric functions}
+\date{}
+\author{Victor S. Adamchik\\
+        Wolfram Research Inc. \\
+        former address : \\
+        Byelorussian University, Minsk, Byelorussia\\
+\\
+\\
+        Present \REDUCE{} form by \\
+        Winfried Neun \\
+        ZIB Berlin \\
+        Email: {\tt Neun@sc.ZIB-Berlin.de}}
+\begin{document}
+\maketitle
+
+This note describes the {\tt ghyper} package of \REDUCE{}, which is able
+to do simplification of several cases of generalized hypergeometric functions.
+The simplifications are performed towards polynomials, elementary or
+special functions or simpler hypergeometric functions.
+Therefore this package should be used together with the \REDUCE{}
+special function package.
+
+\section{Introduction}
+
+The (generalized) hypergeometric functions
+
+\begin{displaymath}
+_pF_q \left( {{a_1, \ldots , a_p} \atop {b_1, \ldots ,b_q}} \Bigg\vert z \right)
+\end{displaymath}
+
+are defined in textbooks on special functions, e.g. in
+\cite{Prudnikov:90}. Many well-known functions belong to this class,
+e.g. exponentials, logarithms, trigonometric functions and Bessel functions.
+In \cite{Graham:89} an introduction into the analysis of sums, basic
+identities and applications can be found.
+
+Several hundreds of particular values can be found in \cite{Prudnikov:90}.
+
+\section{\REDUCE{} operator {\tt hypergeometric}}
+
+The operator {\tt hypergeometric} expects 3 arguments, namely the
+list of upper parameters (which may be empty), the list of lower
+parameters (which may be empty too), and the argument, e.g:
+
+\begin{verbatim}
+
+hypergeometric ({},{},z);
+
+ Z
+E
+
+hypergeometric ({1/2,1},{3/2},-x^2);
+
+ ATAN(X)
+---------
+    X
+\end{verbatim}
+
+\section{Enlarging the {\tt hypergeometric} operator}
+
+Since hundreds of particular cases for the generalized hypergeometric
+functions can be found in the literature, one cannot expect that all
+cases are known to the {\tt hypergeometric} operator.
+Nevertheless the set of special cases can be augmented by adding
+rules to the \REDUCE{} system, e.g.
+
+\begin{verbatim}
+let {hypergeometric({1/2,1/2},{3/2},-(~x)^2) => asinh(x)/x};
+\end{verbatim}
+
+\begin{thebibliography}{9}
+
+\bibitem{Prudnikov:90} A.~P.~Prudnikov, Yu.~A.~Brychkov, O.~I.~Marichev,
+{\em Integrals and Series, Volume 3: More special functions},
+Gordon and Breach Science Publishers (1990).
+
+\bibitem{Graham:89} R.~L.~Graham, D.~E.~Knuth, O.~Patashnik,
+{\em Concrete Mathematics}, Addison-Wesley Publishing Company (1989).
+
+\end{thebibliography}
+\end{document}