Irregular Spherical Bessel Functions
- Function: double gsl_sf_bessel_y0 (double x)
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- Function: int gsl_sf_bessel_y0_e (double x, gsl_sf_result * result)
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These routines compute the irregular spherical Bessel function of zeroth
order, y_0(x) = -\cos(x)/x.
- Function: double gsl_sf_bessel_y1 (double x)
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- Function: int gsl_sf_bessel_y1_e (double x, gsl_sf_result * result)
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These routines compute the irregular spherical Bessel function of first
order, y_1(x) = -(\cos(x)/x + \sin(x))/x.
- Function: double gsl_sf_bessel_y2 (double x)
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- Function: int gsl_sf_bessel_y2_e (double x, gsl_sf_result * result)
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These routines compute the irregular spherical Bessel function of second
order, y_2(x) = (-3/x^2 + 1/x)\cos(x) - (3/x^2)\sin(x).
- Function: double gsl_sf_bessel_yl (int l, double x)
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- Function: int gsl_sf_bessel_yl_e (int l, double x, gsl_sf_result * result)
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These routines compute the irregular spherical Bessel function of
order l, y_l(x), for
l >= 0.
- Function: int gsl_sf_bessel_yl_array (int lmax, double x, double result_array[])
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This routine computes the values of the irregular spherical Bessel
functions y_l(x) for l from 0 to lmax
inclusive for
lmax >= 0, storing the results in the array result_array.
The values are computed using recurrence relations, for
efficiency, and therefore may differ slightly from the exact values.