naginterfaces.library.specfun.struve_​h0

naginterfaces.library.specfun.struve_h0(x)

struve_h0 returns the value of the Struve function of order $0$, $H_0\left(x\right)$.

For full information please refer to the NAG Library document for s17ga

https://support.nag.com/numeric/nl/nagdoc_30.3/flhtml/s/s17gaf.html

Parameters

xfloat

The argument $x$ of the function.

Returns

h0float

The value of the function at $x$.

Raises

NagValueError

(errno $1$)

$x$ is too large and the function returns zero.

Notes

struve_h0 evaluates an approximation to the Struve function of order zero, $H_0\left(x\right)$.

Please consult the NIST Digital Library of Mathematical Functions for a detailed discussion of the Struve function including special cases, transformations, relations and asymptotic approximations.

The approximation method used by this function is based on Chebyshev expansions.

References

NIST Digital Library of Mathematical Functions

MacLeod, A J, 1996, MISCFUN, a software package to compute uncommon special functions, ACM Trans. Math. Software (TOMS) (22(3)), 288–301