scipy.special.ivp

scipy.special.ivp(v, z, n=1)

Compute nth derivative of modified Bessel function Iv(z) with respect to z.

Parameters:

v : array_like of float

Order of Bessel function

z : array_like of complex

Argument at which to evaluate the derivative

n : int, default 1

Order of derivative

References

[R318]

Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996, chapter 6. http://jin.ece.illinois.edu/specfunc.html

Examples

Calculate multiple values at order 5:

>>> from scipy.special import kvp
>>> kvp(5, (1, 2, 3+5j))
array([-1849.0354+0.j    ,   -25.7735+0.j    ,    -0.0307+0.0875j])

Calculate for a single value at multiple orders:

>>> kvp((4, 4.5, 5), 1)
array([ -184.0309,  -568.9585, -1849.0354])