scipy.special.jvp

scipy.special.jvp(v, z, n=1)

Compute derivatives of Bessel functions of the first kind.

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

Parameters

vfloat

Order of Bessel function

zcomplex

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 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/f77_src/special_functions/special_functions.html

2

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