scipy.special.itairy

scipy.special.itairy(x, out=None) = <ufunc 'itairy'>

Integrals of Airy functions

Calculates the integrals of Airy functions from 0 to x.

Parameters

xarray_like

Upper limit of integration (float).

outtuple of ndarray, optional

Optional output arrays for the function values

Returns

Aptscalar or ndarray

Integral of Ai(t) from 0 to x.

Bptscalar or ndarray

Integral of Bi(t) from 0 to x.

Antscalar or ndarray

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

Bntscalar 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

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