Regular Modified Cylindrical Bessel Functions - GNU Scientific Library -- Reference Manual
Description: GNU Scientific Library -- Reference Manual

Next: Irregular Modified Cylindrical Bessel Functions, Previous: Irregular Cylindrical Bessel Functions, Up: Bessel Functions

#### 7.5.3 Regular Modified Cylindrical Bessel Functions

— Function: double gsl_sf_bessel_I0 (double x)
— Function: int gsl_sf_bessel_I0_e (double x, gsl_sf_result * result)

> These routines compute the regular modified cylindrical Bessel function of zeroth order, I_0(x).

— Function: double gsl_sf_bessel_I1 (double x)
— Function: int gsl_sf_bessel_I1_e (double x, gsl_sf_result * result)

> These routines compute the regular modified cylindrical Bessel function of first order, I_1(x).

— Function: double gsl_sf_bessel_In (int n, double x)
— Function: int gsl_sf_bessel_In_e (int n, double x, gsl_sf_result * result)

> These routines compute the regular modified cylindrical Bessel function of order n, I_n(x).

— Function: int gsl_sf_bessel_In_array (int nmin, int nmax, double x, double result_array[])

> This routine computes the values of the regular modified cylindrical Bessel functions I_n(x) for n from nmin to nmax inclusive, storing the results in the array result_array. The start of the range nmin must be positive or zero. The values are computed using recurrence relations for efficiency, and therefore may differ slightly from the exact values.

— Function: double gsl_sf_bessel_I0_scaled (double x)
— Function: int gsl_sf_bessel_I0_scaled_e (double x, gsl_sf_result * result)

> These routines compute the scaled regular modified cylindrical Bessel function of zeroth order \exp(-|x|) I_0(x).

— Function: double gsl_sf_bessel_I1_scaled (double x)
— Function: int gsl_sf_bessel_I1_scaled_e (double x, gsl_sf_result * result)

> These routines compute the scaled regular modified cylindrical Bessel function of first order \exp(-|x|) I_1(x).

— Function: double gsl_sf_bessel_In_scaled (int n, double x)
— Function: int gsl_sf_bessel_In_scaled_e (int n, double x, gsl_sf_result * result)

> These routines compute the scaled regular modified cylindrical Bessel function of order n, \exp(-|x|) I_n(x)

— Function: int gsl_sf_bessel_In_scaled_array (int nmin, int nmax, double x, double result_array[])

> This routine computes the values of the scaled regular cylindrical Bessel functions \exp(-|x|) I_n(x) for n from nmin to nmax inclusive, storing the results in the array result_array. The start of the range nmin must be positive or zero. The values are computed using recurrence relations for efficiency, and therefore may differ slightly from the exact values.

The GNU Scientific Library - a free numerical library licensed under the GNU GPL
Back to the GNU Scientific Library Homepage