SciPy

scipy.special.yvp

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

Compute derivatives of Bessel functions of the second kind.

Compute the nth derivative of the Bessel function Yv with respect to z.

Parameters
vfloat

Order of Bessel function

zcomplex

Argument at which to evaluate the derivative

nint, default 1

Order of derivative

Returns
scalar or ndarray

nth derivative of the Bessel 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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