scipy.special.modstruve¶
- scipy.special.modstruve(v, x) = <ufunc 'modstruve'>¶
Modified Struve function.
Return the value of the modified Struve function of order v at x. The modified Struve function is defined as,
\[L_v(x) = -\imath \exp(-\pi\imath v/2) H_v(\imath x),\]where \(H_v\) is the Struve function.
- Parameters
- varray_like
Order of the modified Struve function (float).
- xarray_like
Argument of the Struve function (float; must be positive unless v is an integer).
- Returns
- Lndarray
Value of the modified Struve function of order v at x.
See also
Notes
Three methods discussed in [1] are used to evaluate the function:
power series
expansion in Bessel functions (if \(|x| < |v| + 20\))
asymptotic large-x expansion (if \(x \geq 0.7v + 12\))
Rounding errors are estimated based on the largest terms in the sums, and the result associated with the smallest error is returned.
References
- 1
NIST Digital Library of Mathematical Functions https://dlmf.nist.gov/11