scipy.special.sph_kn¶

scipy.special.sph_kn(n, z)[source]¶

Compute spherical Bessel function kn(z) and derivative.

This function computes the value and first derivative of kn(z) for all orders up to and including n.

Parameters:

Parameters:	n : int Maximum order of kn to compute z : complex Argument at which to evaluate
Returns:	kn : ndarray Value of k0(z), ..., kn(z) knp : ndarray First derivative k0’(z), ..., kn’(z)

n : int

Maximum order of kn to compute

z : complex

Argument at which to evaluate

Returns:

kn : ndarray

Value of k0(z), ..., kn(z)

knp : ndarray

First derivative k0’(z), ..., kn’(z)

References

Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996, chapter 8. http://jin.ece.illinois.edu/specfunc.html