SciPy

scipy.special.h1vp

scipy.special.h1vp(v, z, n=1)[source]

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

Parameters
varray_like

Order of Hankel function

zarray_like

Argument at which to evaluate the derivative. Can be real or complex.

nint, default 1

Order of derivative

Returns
scalar or ndarray

Values of the derivative of the Hankel function.

Notes

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

References

1

Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996, chapter 5. https://people.sc.fsu.edu/~jburkardt/f_src/special_functions/special_functions.html

2

NIST Digital Library of Mathematical Functions. https://dlmf.nist.gov/10.6.E7

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