naginterfaces.library.specfun.struve_​l1

naginterfaces.library.specfun.struve_l1(x)

struve_l1 returns the value of the modified Struve function of order $1$, $L_1\left(x\right)$.

For full information please refer to the NAG Library document for s18gb

https://support.nag.com/numeric/nl/nagdoc_30.3/flhtml/s/s18gbf.html

Parameters

xfloat

The argument $x$ of the function.

Returns

l1float

The value of the function at $x$.

Raises

NagValueError

(errno $1$)

The value of $L_1\left(x\right)$ is larger than the largest positive floating-point number, which is returned.

Notes

struve_l1 evaluates an approximation to the modified Struve function of order $1$, $L_1\left(x\right)$.

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