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<h3 class="section">31.2 Functions</h3>
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— Function: gsl_dht * <b>gsl_dht_alloc</b> (<var>size_t size</var>)<var><a name="index-gsl_005fdht_005falloc-2084"></a></var><br>
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<blockquote><p>This function allocates a Discrete Hankel transform object of size
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</p></blockquote></div>
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— Function: int <b>gsl_dht_init</b> (<var>gsl_dht * t, double nu, double xmax</var>)<var><a name="index-gsl_005fdht_005finit-2085"></a></var><br>
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<blockquote><p>This function initializes the transform <var>t</var> for the given values of
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<var>nu</var> and <var>x</var>.
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</p></blockquote></div>
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— Function: gsl_dht * <b>gsl_dht_new</b> (<var>size_t size, double nu, double xmax</var>)<var><a name="index-gsl_005fdht_005fnew-2086"></a></var><br>
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<blockquote><p>This function allocates a Discrete Hankel transform object of size
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<var>size</var> and initializes it for the given values of <var>nu</var> and
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</p></blockquote></div>
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— Function: void <b>gsl_dht_free</b> (<var>gsl_dht * t</var>)<var><a name="index-gsl_005fdht_005ffree-2087"></a></var><br>
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<blockquote><p>This function frees the transform <var>t</var>.
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</p></blockquote></div>
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— Function: int <b>gsl_dht_apply</b> (<var>const gsl_dht * t, double * f_in, double * f_out</var>)<var><a name="index-gsl_005fdht_005fapply-2088"></a></var><br>
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<blockquote><p>This function applies the transform <var>t</var> to the array <var>f_in</var>
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whose size is equal to the size of the transform. The result is stored
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in the array <var>f_out</var> which must be of the same length.
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</p></blockquote></div>
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— Function: double <b>gsl_dht_x_sample</b> (<var>const gsl_dht * t, int n</var>)<var><a name="index-gsl_005fdht_005fx_005fsample-2089"></a></var><br>
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<blockquote><p>This function returns the value of the <var>n</var>-th sample point in the unit interval,
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<!-- {${({j_{\nu,n+1}} / {j_{\nu,M}}}) X$} -->
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(j_{\nu,n+1}/j_{\nu,M}) X. These are the
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points where the function f(t) is assumed to be sampled.
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</p></blockquote></div>
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— Function: double <b>gsl_dht_k_sample</b> (<var>const gsl_dht * t, int n</var>)<var><a name="index-gsl_005fdht_005fk_005fsample-2090"></a></var><br>
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<blockquote><p>This function returns the value of the <var>n</var>-th sample point in “k-space”,
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<!-- {${{j_{\nu,n+1}} / X}$} -->
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</p></blockquote></div>