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<?xml version="1.0" encoding="UTF-8"?>
<!--
*
* This help file was generated from cheb.sci using help_from_sci().
*
-->
<refentry version="5.0-subset Scilab" xml:id="cheb" xml:lang="en"
xmlns="http://docbook.org/ns/docbook"
xmlns:xlink="http://www.w3.org/1999/xlink"
xmlns:svg="http://www.w3.org/2000/svg"
xmlns:ns3="http://www.w3.org/1999/xhtml"
xmlns:mml="http://www.w3.org/1998/Math/MathML"
xmlns:scilab="http://www.scilab.org"
xmlns:db="http://docbook.org/ns/docbook">
<refnamediv>
<refname>cheb</refname>
<refpurpose>Calculates the nth-order Chebyshev polynomial at the point x.</refpurpose>
</refnamediv>
<refsynopsisdiv>
<title>Calling Sequence</title>
<synopsis>
cheb(n, x)
</synopsis>
</refsynopsisdiv>
<refsection>
<title>Parameters</title>
<variablelist>
<varlistentry><term>n:</term>
<listitem><para> Filter order</para></listitem></varlistentry>
<varlistentry><term>x:</term>
<listitem><para> Point at which the Chebyshev polynomial is calculater.</para></listitem></varlistentry>
</variablelist>
</refsection>
<refsection>
<title>Description</title>
<para>
This is an Octave function.
Equation for Chebyshev polynomial is
/ cos(n acos(x), |x| <= 1
Tn(x) = |
\ cosh(n acosh(x), |x| > 1
</para>
<para>
x can also be a vector. In that case the output will also be a vector of same size as x.
</para>
</refsection>
<refsection>
<title>Examples</title>
<programlisting role="example"><![CDATA[
x = [1 2 3 4]
cheb(10, x)
ans =
1.0000e+00 2.6209e+05 2.2620e+07 4.5747e+08
]]></programlisting>
</refsection>
</refentry>
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