SciPy

scipy.special.sph_inkn

scipy.special.sph_inkn(n, z)[source]

Compute spherical Bessel functions in(z), kn(z), and derivatives.

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

Parameters:

n : int

Maximum order of in and kn to compute

z : complex

Argument at which to evaluate

Returns:

in : ndarray

Value of i0(z), ..., in(z)

inp : ndarray

First derivative i0’(z), ..., in’(z)

kn : ndarray

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

knp : ndarray

First derivative k0’(z), ..., kn’(z)

References

[R334]Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996, chapter 8. http://jin.ece.illinois.edu/specfunc.html