GNU Scientific Library Reference Manual - Third Edition (v1.12) by M. Galassi, J. Davies, J. Theiler, B. Gough, G. Jungman, P. Alken, M. Booth, F. Rossi Paperback (6"x9"), 592 pages, 60 figures ISBN 0954612078 RRP £24.95 ($39.95) Get a printed copy>>>

GNU Scientific Library Reference Manual - Third Edition (v1.12) Buy the book here >>> support free software

7.4.2 Derivatives of Airy Functions

Function: double gsl_sf_airy_Ai_deriv (double x, gsl_mode_t mode)

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

These routines compute the Airy function derivative Ai'(x) with an accuracy specified by mode.

Function: double gsl_sf_airy_Bi_deriv (double x, gsl_mode_t mode)

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

These routines compute the Airy function derivative Bi'(x) with an accuracy specified by mode.

Function: double gsl_sf_airy_Ai_deriv_scaled (double x, gsl_mode_t mode)

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

These routines compute the scaled Airy function derivative S_A(x) Ai'(x). For x>0 the scaling factor S_A(x) is \exp(+(2/3) x^(3/2)), and is 1 for x<0.

Function: double gsl_sf_airy_Bi_deriv_scaled (double x, gsl_mode_t mode)

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

These routines compute the scaled Airy function derivative S_B(x) Bi'(x). For x>0 the scaling factor S_B(x) is exp(-(2/3) x^(3/2)), and is 1 for x<0.