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<title>GNU Scientific Library &ndash; Reference Manual: Discrete Hankel Transform Functions</title>

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<a name="Discrete-Hankel-Transform-Functions"></a>
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<p>
Next: <a href="Discrete-Hankel-Transform-References.html#Discrete-Hankel-Transform-References" accesskey="n" rel="next">Discrete Hankel Transform References</a>, Previous: <a href="Discrete-Hankel-Transform-Definition.html#Discrete-Hankel-Transform-Definition" accesskey="p" rel="previous">Discrete Hankel Transform Definition</a>, Up: <a href="Discrete-Hankel-Transforms.html#Discrete-Hankel-Transforms" accesskey="u" rel="up">Discrete Hankel Transforms</a> &nbsp; [<a href="Function-Index.html#Function-Index" title="Index" rel="index">Index</a>]</p>
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<hr>
<a name="Functions-1"></a>
<h3 class="section">33.2 Functions</h3>

<dl>
<dt><a name="index-gsl_005fdht_005falloc"></a>Function: <em>gsl_dht *</em> <strong>gsl_dht_alloc</strong> <em>(size_t <var>size</var>)</em></dt>
<dd><a name="index-gsl_005fdht"></a>
<p>This function allocates a Discrete Hankel transform object of size
<var>size</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fdht_005finit"></a>Function: <em>int</em> <strong>gsl_dht_init</strong> <em>(gsl_dht * <var>t</var>, double <var>nu</var>, double <var>xmax</var>)</em></dt>
<dd><p>This function initializes the transform <var>t</var> for the given values of
<var>nu</var> and <var>xmax</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fdht_005fnew"></a>Function: <em>gsl_dht *</em> <strong>gsl_dht_new</strong> <em>(size_t <var>size</var>, double <var>nu</var>, double <var>xmax</var>)</em></dt>
<dd><p>This function allocates a Discrete Hankel transform object of size
<var>size</var> and initializes it for the given values of <var>nu</var> and
<var>xmax</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fdht_005ffree"></a>Function: <em>void</em> <strong>gsl_dht_free</strong> <em>(gsl_dht * <var>t</var>)</em></dt>
<dd><p>This function frees the transform <var>t</var>.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fdht_005fapply"></a>Function: <em>int</em> <strong>gsl_dht_apply</strong> <em>(const gsl_dht * <var>t</var>, double * <var>f_in</var>, double * <var>f_out</var>)</em></dt>
<dd><p>This function applies the transform <var>t</var> to the array <var>f_in</var>
whose size is equal to the size of the transform.  The result is stored
in the array <var>f_out</var> which must be of the same length.   
</p>
<p>Applying this function to its output gives the original data
multiplied by <em>(1/j_(\nu,M))^2</em>, up to numerical errors.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fdht_005fx_005fsample"></a>Function: <em>double</em> <strong>gsl_dht_x_sample</strong> <em>(const gsl_dht * <var>t</var>, int <var>n</var>)</em></dt>
<dd><p>This function returns the value of the <var>n</var>-th sample point in the unit interval,
<em>(j_{\nu,n+1}/j_{\nu,M}) X</em>. These are the
points where the function <em>f(t)</em> is assumed to be sampled.
</p></dd></dl>

<dl>
<dt><a name="index-gsl_005fdht_005fk_005fsample"></a>Function: <em>double</em> <strong>gsl_dht_k_sample</strong> <em>(const gsl_dht * <var>t</var>, int <var>n</var>)</em></dt>
<dd><p>This function returns the value of the <var>n</var>-th sample point in &ldquo;k-space&rdquo;,
<em>j_{\nu,n+1}/X</em>.
</p></dd></dl>




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