scipy.special.bi_zeros#

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

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

Computes the first nt zeros, b, of the Airy function Bi(x); first nt zeros, b’, of the derivative of the Airy function Bi’(x); the corresponding values Bi(b’); and the corresponding values Bi’(b).

Parameters:

ntint: Number of zeros to compute

Returns:

bndarray: First nt zeros of Bi(x)
bpndarray: First nt zeros of Bi’(x)
bindarray: Values of Bi(x) evaluated at first nt zeros of Bi’(x)
bipndarray: Values of Bi’(x) evaluated at first nt zeros of Bi(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
>>> b, bp, bi, bip = special.bi_zeros(3)
>>> b
array([-1.17371322, -3.2710933 , -4.83073784])
>>> bp
array([-2.29443968, -4.07315509, -5.51239573])
>>> bi
array([-0.45494438,  0.39652284, -0.36796916])
>>> bip
array([ 0.60195789, -0.76031014,  0.83699101])