SciPy

scipy.special.ivp

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

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

Notes

The derivative is computed using the relation DLFM 10.29.5 [2].

References

[1]Zhang, Shanjie and Jin, Jianming. “Computation of Special Functions”, John Wiley and Sons, 1996, chapter 6. https://people.sc.fsu.edu/~jburkardt/f_src/special_functions/special_functions.html
[2](1, 2) NIST Digital Library of Mathematical Functions. https://dlmf.nist.gov/10.29.E5

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