maxframe.tensor.special.itairy#

maxframe.tensor.special.itairy(x, out=None)[source]#

Integrals of Airy functions

Calculates the integrals of Airy functions from 0 to x.

Parameters:
  • x (array_like) – Upper limit of integration (float).

  • out (tuple of ndarray, optional) – Optional output arrays for the function values

Returns:

  • Apt (scalar or ndarray) – Integral of Ai(t) from 0 to x.

  • Bpt (scalar or ndarray) – Integral of Bi(t) from 0 to x.

  • Ant (scalar or ndarray) – Integral of Ai(-t) from 0 to x.

  • Bnt (scalar or ndarray) – Integral of Bi(-t) from 0 to x.

Notes

Wrapper for a Fortran routine created by Shanjie Zhang and Jianming Jin [1].

References