SciPy

scipy.special.y1_zeros

scipy.special.y1_zeros(nt, complex=0)[source]

Compute nt zeros of Bessel function Y1(z), and derivative at each zero.

The derivatives are given by Y1’(z1) = Y0(z1) at each zero z1.

Parameters:

nt : int

Number of zeros to return

complex : int, default 0

Set to 0 to return only the real zeros; set to 1 to return only the complex zeros with negative real part and positive imaginary part. Note that the complex conjugates of the latter are also zeros of the function, but are not returned by this routine.

Returns:

z1n : ndarray

Location of nth zero of Y1(z)

y1pz1n : ndarray

Value of derivative Y1’(z1) for nth zero

References

[R354]Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996, chapter 5. http://jin.ece.illinois.edu/specfunc.html