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<HTML>
<HEAD>
<TITLE>Psi function</TITLE>
</HEAD>
<BODY bgcolor="#FFFFFF" fgcolor="#000000">
<P><A NAME="psi"></A>
<font size="+3" color="green"><B>Psi function</B></font></P>
<P>
<TABLE border="1" cols="2" frame="box" rules="all" width="572">
<TR>
<TD width="15%" valign="top"><B>Syntax</B>:</TD>
<TD width="85%"><CODE>
y = PSI(x)<br />
y = DIGAMMA(x)</CODE>
</TD></TR>
</table></p>
<P>
The Psi function is also known as the DiGamma function.</P>
<P>
<center><IMG WIDTH=384 HEIGHT=56 ALIGN=BOTTOM SRC="psi1.gif"></center></P>
<p>
Note that:</p>
<p>
<IMG WIDTH=300 HEIGHT=80 ALIGN=middle SRC="psi2.gif"></P>
<P>
where <img width=17 height=20 align=top src="gamma.gif"> is Euler's
constant</P>
<P>
<center><IMG WIDTH=296 HEIGHT=50 ALIGN=BOTTOM SRC="euler.gif"></center></P>
<P>
<a href="../PoissonCharlier/poica.htm"><img align="top" border="0" src="../../../shadow_left.gif">
<font size="+1" color="olive">Poisson-Charlier polynomial</font></a><br />
<a href="../Rademacher/radmac.htm"><img align="top" border="0" src="../../../shadow_right.gif">
<font size="+1" color="olive">Rademacher function</font></a>
</P>
</BODY>
</HTML>
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