Discrete Hankel Transform Functions - GNU Scientific Library -- Reference Manual
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### 32.2 Functions

— Function: gsl_dht * gsl_dht_alloc (size_t size)

> This function allocates a Discrete Hankel transform object of size size.

— Function: int gsl_dht_init (gsl_dht * t, double nu, double xmax)

> This function initializes the transform t for the given values of nu and xmax.

— Function: gsl_dht * gsl_dht_new (size_t size, double nu, double xmax)

> This function allocates a Discrete Hankel transform object of size size and initializes it for the given values of nu and xmax.

— Function: void gsl_dht_free (gsl_dht * t)

> This function frees the transform t.

— Function: int gsl_dht_apply (const gsl_dht * t, double * f_in, double * f_out)

> This function applies the transform t to the array f_in whose size is equal to the size of the transform. The result is stored in the array f_out which must be of the same length.

> Applying this function to its output gives the original data multiplied by (1/j_(\nu,M))^2, up to numerical errors.

— Function: double gsl_dht_x_sample (const gsl_dht * t, int n)

> This function returns the value of the n-th sample point in the unit interval, (j_{\nu,n+1}/j_{\nu,M}) X. These are the points where the function f(t) is assumed to be sampled.

— Function: double gsl_dht_k_sample (const gsl_dht * t, int n)

> This function returns the value of the n-th sample point in “k-space”, j_{\nu,n+1}/X.

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