SciPy

scipy.special.ivp

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

Compute derivatives of modified Bessel functions of the first kind.

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

Parameters
varray_like

Order of Bessel 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

nth derivative of the modified Bessel function.

See also

iv

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

NIST Digital Library of Mathematical Functions. https://dlmf.nist.gov/10.29.E5

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