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kvp(v, z, n=1)

Kv(z) is the modified Bessel function of the second kind. Derivative is calculated with respect to z.

Notes

The derivative is computed using the relation DLFM 10.29.5 .

Parameters

v : array_like of float

Order of Bessel function

z : array_like of complex

Argument at which to evaluate the derivative

n : int

Order of derivative. Default is first derivative.

Returns

out : ndarray

The results

Compute nth derivative of real-order modified Bessel function Kv(z)

Examples

Calculate multiple values at order 5:

>>> from scipy.special import kvp
... kvp(5, (1, 2, 3+5j)) array([-1.84903536e+03+0.j , -2.57735387e+01+0.j , -3.06627741e-02+0.08750845j])

Calculate for a single value at multiple orders:

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

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.special._basic.kvp

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GitHub : /scipy/special/_basic.py#700
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