File r37/lisp/csl/html/r37_0501.html artifact dd2bace334 part of check-in 3af273af29

<A NAME=HermiteP>

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



<B>HERMITEP</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
<P>
 
The <em>HermiteP</em> operator returns the nth Hermite Polynomial. 
<P>
<P>
 <P> <H3> 
syntax: </H3>
<em>HermiteP</em>(&lt;integer&gt;,&lt;expression&gt;) 
<P>
<P>
<P>
 <P> <H3> 
examples: </H3>
<P><PRE><TT>
HermiteP(3,xx); 

            2
  4*xx*(2*xx   - 3) 


HermiteP(3,4); 

  464

</TT></PRE><P>Hermite polynomials are computed using the recurrence relation: 
 <P>
<P>
HermiteP(n,x) := 2x*HermiteP(n-1,x) - 2*(n-1)*HermiteP(n-2,x) with 
<P>
<P>
HermiteP(0,x) := 1 and HermiteP(1,x) := 2x 
<P>
<P>
<P>
<P>