GNU Scientific Library – Reference Manual: Zeros of Regular Bessel Functions

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#### 7.5.13 Zeros of Regular Bessel Functions

Function: double gsl_sf_bessel_zero_J0 (unsigned int s)
Function: int gsl_sf_bessel_zero_J0_e (unsigned int s, gsl_sf_result * result)

  These routines compute the location of the s-th positive zero of the Bessel function J_0(x).

Function: double gsl_sf_bessel_zero_J1 (unsigned int s)
Function: int gsl_sf_bessel_zero_J1_e (unsigned int s, gsl_sf_result * result)

  These routines compute the location of the s-th positive zero of the Bessel function J_1(x).

Function: double gsl_sf_bessel_zero_Jnu (double nu, unsigned int s)
Function: int gsl_sf_bessel_zero_Jnu_e (double nu, unsigned int s, gsl_sf_result * result)

  These routines compute the location of the s-th positive zero of the Bessel function J_\nu(x). The current implementation does not support negative values of nu.