scipy.special.ai_zeros#

scipy.special.ai_zeros(nt)[source]#

Compute nt zeros and values of the Airy function Ai and its derivative.

Computes the first nt zeros, a, of the Airy function Ai(x); first nt zeros, ap, of the derivative of the Airy function Ai’(x); the corresponding values Ai(a’); and the corresponding values Ai’(a).

Parameters:

ntint: Number of zeros to compute

Returns:

andarray: First nt zeros of Ai(x)
apndarray: First nt zeros of Ai’(x)
aindarray: Values of Ai(x) evaluated at first nt zeros of Ai’(x)
aipndarray: Values of Ai’(x) evaluated at first nt zeros of Ai(x)

References

[1]

Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996. https://people.sc.fsu.edu/~jburkardt/f77_src/special_functions/special_functions.html

Examples

>>> from scipy import special
>>> a, ap, ai, aip = special.ai_zeros(3)
>>> a
array([-2.33810741, -4.08794944, -5.52055983])
>>> ap
array([-1.01879297, -3.24819758, -4.82009921])
>>> ai
array([ 0.53565666, -0.41901548,  0.38040647])
>>> aip
array([ 0.70121082, -0.80311137,  0.86520403])