GNU Scientific Library – Reference Manual: Regular Modified Bessel Functions - Fractional Order

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#### 7.5.11 Regular Modified Bessel Functions—Fractional Order

Function: double gsl_sf_bessel_Inu (double nu, double x)
Function: int gsl_sf_bessel_Inu_e (double nu, double x, gsl_sf_result * result)

  These routines compute the regular modified Bessel function of fractional order \nu, I_\nu(x) for x>0, \nu>0.

Function: double gsl_sf_bessel_Inu_scaled (double nu, double x)
Function: int gsl_sf_bessel_Inu_scaled_e (double nu, double x, gsl_sf_result * result)

  These routines compute the scaled regular modified Bessel function of fractional order \nu, \exp(-|x|)I_\nu(x) for x>0, \nu>0.