scipy.special.modstruve¶
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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,
\[L_v(x) = -\imath \exp(-\pi\imath v/2) H_v(x),\]where \(H_v\) is the Struve function.
Parameters: - v : array_like
Order of the modified Struve function (float).
- x : array_like
Argument of the Struve function (float; must be positive unless v is an integer).
Returns: - L : ndarray
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 \(|z| < |v| + 20\))
- asymptotic large-z expansion (if \(z \geq 0.7v + 12\))
Rounding errors are estimated based on the largest terms in the sums, and the result associated with the smallest error is returned.
References
[1] (1, 2) NIST Digital Library of Mathematical Functions http://dlmf.nist.gov/11