Module rgsl::airy

source ·

Functions

  • Ai
    This routine computes the Airy function Ai(x) with an accuracy specified by mode.
  • Ai_deriv
    This routine computes the Airy function derivative Ai’(x) with an accuracy specified by mode.
  • Ai_deriv_e
    This routine computes the Airy function derivative Ai’(x) with an accuracy specified by mode.
  • Ai_deriv_scaled
    This routine computes 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.
  • Ai_deriv_scaled_e
    This routine computes 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.
  • Ai_e
    This routine computes the Airy function Ai(x) with an accuracy specified by mode.
  • Ai_scaled
    This routine computes a scaled version of the Airy function 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.
  • Ai_scaled_e
    This routine computes a scaled version of the Airy function 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.
  • Bi
    This routine computes the Airy function Bi(x) with an accuracy specified by mode.
  • Bi_deriv
    This routine computes the Airy function derivative Bi’(x) with an accuracy specified by mode.
  • Bi_deriv_e
    This routine computes the Airy function derivative Bi’(x) with an accuracy specified by mode.
  • Bi_deriv_scaled
    This routine computes 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.
  • Bi_deriv_scaled_e
    This routine computes 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.
  • Bi_e
    This routine computes the Airy function Bi(x) with an accuracy specified by mode.
  • Bi_scaled
    This routine computes a scaled version of the Airy function 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.
  • Bi_scaled_e
    This routine computes a scaled version of the Airy function 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.
  • zero_Ai
    This routine computes the location of the s-th zero of the Airy function Ai(x).
  • zero_Ai_deriv
    This routine computes the location of the s-th zero of the Airy function derivative Ai’(x).
  • zero_Ai_deriv_e
    This routine computes the location of the s-th zero of the Airy function derivative Ai’(x).
  • zero_Ai_e
    This routine computes the location of the s-th zero of the Airy function Ai(x).
  • zero_Bi
    This routine computes the location of the s-th zero of the Airy function Bi(x).
  • zero_Bi_deriv
    This routine computes the location of the s-th zero of the Airy function derivative Bi’(x).
  • zero_Bi_deriv_e
    This routine computes the location of the s-th zero of the Airy function derivative Bi’(x).
  • zero_Bi_e
    This routine computes the location of the s-th zero of the Airy function Bi(x).