/* Author: G. Jungman * RCS: $Id: gsl_sf_airy.h,v 1.15 1999/04/15 10:48:39 jungman Exp $ */ #ifndef GSL_SF_AIRY_H_ #define GSL_SF_AIRY_H_ #include #include /* Airy function Ai(x) * * exceptions: GSL_EUNDRFLW */ int gsl_sf_airy_Ai_impl(double x, gsl_mode_t mode, gsl_sf_result * result); int gsl_sf_airy_Ai_e(double x, gsl_mode_t mode, gsl_sf_result * result); /* Airy function Bi(x) * * exceptions: GSL_EOVRFLW */ int gsl_sf_airy_Bi_impl(double x, gsl_mode_t mode, gsl_sf_result * result); int gsl_sf_airy_Bi_e(double x, gsl_mode_t mode, gsl_sf_result * result); /* scaled Ai(x): * Ai(x) x < 0 * exp(+2/3 x^{3/2}) Ai(x) x > 0 * * exceptions: none */ int gsl_sf_airy_Ai_scaled_impl(double x, gsl_mode_t mode, gsl_sf_result * result); int gsl_sf_airy_Ai_scaled_e(double x, gsl_mode_t mode, gsl_sf_result * result); /* scaled Bi(x): * Bi(x) x < 0 * exp(-2/3 x^{3/2}) Bi(x) x > 0 * * exceptions: none */ int gsl_sf_airy_Bi_scaled_impl(double x, gsl_mode_t mode, gsl_sf_result * result); int gsl_sf_airy_Bi_scaled_e(double x, gsl_mode_t mode, gsl_sf_result * result); /* derivative Ai'(x) * * exceptions: GSL_EUNDRFLW */ int gsl_sf_airy_Ai_deriv_impl(double x, gsl_mode_t mode, gsl_sf_result * result); int gsl_sf_airy_Ai_deriv_e(double x, gsl_mode_t mode, gsl_sf_result * result); /* derivative Bi'(x) * * exceptions: GSL_EOVRFLW */ int gsl_sf_airy_Bi_deriv_impl(double x, gsl_mode_t mode, gsl_sf_result * result); int gsl_sf_airy_Bi_deriv_e(double x, gsl_mode_t mode, gsl_sf_result * result); /* scaled derivative Ai'(x): * Ai'(x) x < 0 * exp(+2/3 x^{3/2}) Ai'(x) x > 0 * * exceptions: none */ int gsl_sf_airy_Ai_deriv_scaled_impl(double x, gsl_mode_t mode, gsl_sf_result * result); int gsl_sf_airy_Ai_deriv_scaled_e(double x, gsl_mode_t mode, gsl_sf_result * result); /* scaled derivative: * Bi'(x) x < 0 * exp(-2/3 x^{3/2}) Bi'(x) x > 0 * * exceptions: none */ int gsl_sf_airy_Bi_deriv_scaled_impl(double x, gsl_mode_t mode, gsl_sf_result * result); int gsl_sf_airy_Bi_deriv_scaled_e(double x, gsl_mode_t mode, gsl_sf_result * result); /* Zeros of Ai(x) */ int gsl_sf_airy_zero_Ai_impl(int s, gsl_sf_result * result); int gsl_sf_airy_zero_Ai_e(int s, gsl_sf_result * result); /* Zeros of Bi(x) */ int gsl_sf_airy_zero_Bi_impl(int s, gsl_sf_result * result); int gsl_sf_airy_zero_Bi_e(int s, gsl_sf_result * result); /* Zeros of Ai'(x) */ int gsl_sf_airy_zero_Ai_deriv_impl(int s, gsl_sf_result * result); int gsl_sf_airy_zero_Ai_deriv_e(int s, gsl_sf_result * result); /* Zeros of Bi'(x) */ int gsl_sf_airy_zero_Bi_deriv_impl(int s, gsl_sf_result * result); int gsl_sf_airy_zero_Bi_deriv_e(int s, gsl_sf_result * result); #endif /* GSL_SF_AIRY_H_ */