`scipy.special._basic:h1vp`

Signature

def h1vp ( v , z , n = 1 )

Compute derivatives of Hankel function H1v(z) with respect to z.

v : array_like: Order of Hankel function
z : array_like: Argument at which to evaluate the derivative. Can be real or complex.
n : int, default 1: Order of derivative. For 0 returns the Hankel function hankel1 itself.

The derivative is computed using the relation DLFM 10.6.7 ^[2].

Compute the Hankel function of the first kind of order 0 and its first two derivatives at 1.

from scipy.special import h1vp

✓

h1vp(0, 1, 0), h1vp(0, 1, 1), h1vp(0, 1, 2)

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Compute the first derivative of the Hankel function of the first kind for several orders at 1 by providing an array for `v`.

h1vp([0, 1, 2], 1, 1)

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Compute the first derivative of the Hankel function of the first kind of order 0 at several points by providing an array for `z`.

import numpy as np
points = np.array([0.5, 1.5, 3.])

✓

h1vp(0, points, 1)

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