Airy Functions
==============

The Airy functions Ai(x) and Bi(x) are defined by the integral representations

     Ai(x) = {1 / \pi} \int_0^\infty \cos({1/3} t^3 + xt ) dt,
     Bi(x) = {1 / \pi} \int_0^\infty (e^{-t^3/3} + \sin({1/3} t^3 + xt) dt.

Airy Functions
--------------

 -- Function: int gsl_sf_airy_Ai_impl (
     double x, gsl_mode_t mode, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_Ai_e (
     double x, gsl_mode_t mode, gsl_sf_result * result)

 -- Function: int gsl_sf_airy_Bi_impl (
     double x, gsl_mode_t mode, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_Bi_e (
     double x, gsl_mode_t mode, gsl_sf_result * result)

 -- Function: int gsl_sf_airy_Ai_scaled_impl (
     double x, gsl_mode_t mode, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_Ai_scaled_e (
     double x, gsl_mode_t mode, gsl_sf_result * result)

 -- Function: int gsl_sf_airy_Bi_scaled_impl (
     double x, gsl_mode_t mode, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_Bi_scaled_e (
     double x, gsl_mode_t mode, gsl_sf_result * result)

Derivatives of Airy Functions
-----------------------------

 -- Function: int gsl_sf_airy_Ai_deriv_impl (
     double x, gsl_mode_t mode, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_Ai_deriv_e (
     double x, gsl_mode_t mode, gsl_sf_result * result)

 -- Function: int gsl_sf_airy_Bi_deriv_impl (
     double x, gsl_mode_t mode, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_Bi_deriv_e (
     double x, gsl_mode_t mode, gsl_sf_result * result)

 -- Function: int gsl_sf_airy_Ai_deriv_scaled_impl (
     double x, gsl_mode_t mode, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_Ai_deriv_scaled_e (
     double x, gsl_mode_t mode, gsl_sf_result * result)

 -- Function: int gsl_sf_airy_Bi_deriv_scaled_e (
     double x, gsl_mode_t mode, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_Bi_deriv_scaled_e (
     double x, gsl_mode_t mode, gsl_sf_result * result)

Zeros of Airy Functions
-----------------------

 -- Function: int gsl_sf_airy_zero_Ai_e (
     int s, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_zero_Ai_e (
     int s, gsl_sf_result * result)

 -- Function: int gsl_sf_airy_zero_Bi_e (
     int s, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_zero_Bi_e (
     int s, gsl_sf_result * result)

Zeros of Derivatives of Airy Functions
--------------------------------------

 -- Function: int gsl_sf_airy_zero_Ai_deriv_e (
     int s, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_zero_Ai_deriv_e (
     int s, gsl_sf_result * result)

 -- Function: int gsl_sf_airy_zero_Bi_deriv_e (
     int s, gsl_sf_result * result)
 -- Function: int gsl_sf_airy_zero_Bi_deriv_e (
     int s, gsl_sf_result * result)