mars.tensor.special.itairy#

mars.tensor.special.itairy(x, out=None, **kwargs)[source]#

Integrals of Airy functions

Calculates the integrals of Airy functions from 0 to x.

Parameters

x (array_like) – Upper limit of integration (float).

Returns

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

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

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

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

Notes

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

References

1

Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996. https://people.sc.fsu.edu/~jburkardt/f_src/special_functions/special_functions.html