# 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
    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

  `struve`

  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

scipy.special.struve scipy.special.itstruve0