File r37/lisp/csl/html/r37_0528.html artifact 26ea486ba2 part of check-in 955d0a90a7

<A NAME=HYPERGEOMETRIC>

<TITLE>HYPERGEOMETRIC</TITLE></A>
<b><a href=r37_idx.html>INDEX</a></b><p><p>



<B>HYPERGEOMETRIC</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
<P>
 
 <P>
<P>
The <em>Hypergeometric</em> operator provides simplifications for the 
generalized hypergeometric functions. 
The <em>Hypergeometric</em> operator is included in the package specfn2. 
<P>
<P>
 <P> <H3> 
syntax: </H3>
<em>hypergeometric</em>(&lt;list of parameters&gt;,&lt;list of parameters&gt;, 
 &lt;argument&gt;) 
<P>
<P>
<P>
 <P> <H3> 
examples: </H3>
<P><PRE><TT>
load specfn2;

hypergeometric ({1/2,1},{3/2},-x^2); 


  atan(x)
  --------
     x


hypergeometric ({},{},z); 

   z
  e

</TT></PRE><P>The special case where the length of the first list is equal to 2 
and 
the length of the second list is equal to 1 is often called 
``the hypergeometric function'' (notated as 2F1(a1,a2,b;x)). 
<P>
<P>
<P>