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<h1 class="chapter"> 55. ggf </h1>

<table class="menu" border="0" cellspacing="0">
<tr><td align="left" valign="top"><a href="#SEC273">55.1 Functions and Variables for ggf</a></td><td>&nbsp;&nbsp;</td><td align="left" valign="top">
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<h2 class="section"> 55.1 Functions and Variables for ggf </h2>

<p><a name="Item_003a-GGFINFINITY"></a>
</p><dl>
<dt><u>Option variable:</u> <b>GGFINFINITY</b>
<a name="IDX2243"></a>
</dt>
<dd><p>Default value: 3
</p>
<p>This is an option variable for function <code>ggf</code>.
</p>
<p>When computing the continued fraction of the
generating function, a partial quotient having a degree
(strictly) greater than <var>GGFINFINITY</var> will be discarded and
the current convergent will be considered as the exact value
of the generating function; most often the degree of all
partial quotients will be 0 or 1; if you use a greater value,
then you should give enough terms in order to make the
computation accurate enough.
</p>

<p>See also <code>ggf</code>.
</p>
<div class=categorybox>
&middot;
<p>@ref{Category: Package ggf}
</div>
</p>
</dd></dl>


<p><a name="Item_003a-GGFCFMAX"></a>
</p><dl>
<dt><u>Option variable:</u> <b>GGFCFMAX</b>
<a name="IDX2244"></a>
</dt>
<dd><p>Default value: 3
</p>
<p>This is an option variable for function <code>ggf</code>.
</p>
<p>When computing the continued fraction of the
generating function, if no good result has been found (see
the <var>GGFINFINITY</var> flag) after having computed <var>GGFCFMAX</var> partial
quotients, the generating function will be considered as
not being a fraction of two polynomials and the function will
exit. Put freely a greater value for more complicated
generating functions.
</p>
<p>See also <code>ggf</code>.
</p>
<div class=categorybox>
&middot;
<p>@ref{Category: Package ggf}
</div>
</p>
</dd></dl>


<dl>
<dt><u>Function:</u> <b>ggf</b><i> (<var>l</var>)</i>
<a name="IDX2245"></a>
</dt>
<dd><p>Compute the generating function (if it is a fraction of two
polynomials) of a sequence, its first terms being given. <var>l</var>
is a list of numbers.
</p>
<p>The solution is returned as a fraction of two polynomials.
If no solution has been found, it returns with <code>done</code>.
</p>
<p>This function is controlled by global variables <var>GGFINFINITY</var> and <var>GGFCFMAX</var>. See also <var>GGFINFINITY</var> and <var>GGFCFMAX</var>.
</p>
<p>To use this function write first <code>load(&quot;ggf&quot;)</code>.
</p>
<div class=categorybox>
&middot;
<p>@ref{Category: Generating functions} &middot;
@ref{Category: Share packages} &middot;
@ref{Category: Package ggf}
</div>
</p>
</dd></dl>

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