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scipy.special.struve¶
- scipy.special.struve(v, x) = <ufunc 'struve'>¶
Struve function.
Return the value of the Struve function of order v at x. The Struve function is defined as,
Hv(x)=(z/2)v+1∞∑n=0(−1)n(z/2)2nΓ(n+32)Γ(n+v+32),where Γ is the gamma function.
Parameters: v : array_like
Order of the Struve function (float).
x : array_like
Argument of the Struve function (float; must be positive unless v is an integer).
Returns: H : ndarray
Value of the Struve function of order v at x.
See also
Notes
Three methods discussed in [R472] are used to evaluate the Struve function:
- power series
- expansion in Bessel functions (if |z|<|v|+20)
- asymptotic large-z expansion (if z≥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
[R472] (1, 2) NIST Digital Library of Mathematical Functions http://dlmf.nist.gov/11