Regular Modified Spherical Bessel Functions
The regular modified spherical Bessel functions i_l(x)
are related to the modified Bessel functions of fractional order,
i_l(x) = \sqrt{\pi/(2x)} I_{l+1/2}(x)
- Function: double gsl_sf_bessel_i0_scaled (double x)
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- Function: int gsl_sf_bessel_i0_scaled_e (double x, gsl_sf_result * result)
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These routines compute the scaled regular modified spherical Bessel
function of zeroth order, \exp(-|x|) i_0(x).
- Function: double gsl_sf_bessel_i1_scaled (double x)
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- Function: int gsl_sf_bessel_i1_scaled_e (double x, gsl_sf_result * result)
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These routines compute the scaled regular modified spherical Bessel
function of first order, \exp(-|x|) i_1(x).
- Function: double gsl_sf_bessel_i2_scaled (double x)
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- Function: int gsl_sf_bessel_i2_scaled_e (double x, gsl_sf_result * result)
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These routines compute the scaled regular modified spherical Bessel
function of second order, \exp(-|x|) i_2(x)
- Function: double gsl_sf_bessel_il_scaled (int l, double x)
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- Function: int gsl_sf_bessel_il_scaled_e (int l, double x, gsl_sf_result * result)
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These routines compute the scaled regular modified spherical Bessel
function of order l, \exp(-|x|) i_l(x)
- Function: int gsl_sf_bessel_il_scaled_array (int lmax, double x, double result_array[])
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This routine computes the values of the scaled regular modified
cylindrical Bessel functions \exp(-|x|) i_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.