scipy.special.bi_zeros

scipy.special.bi_zeros(nt)

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/f_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])