naginterfaces.library.specfun.struve_​i0ml0

naginterfaces.library.specfun.struve_i0ml0(x)

struve_i0ml0 returns the value of $I_0\left(x\right)-L_0\left(x\right)$ where $I_0\left(x\right)$ is the modified Bessel function of the first kind of order zero, and $L_0\left(x\right)$ is the modified Struve function of order $0$.

For full information please refer to the NAG Library document for s18gc

https://support.nag.com/numeric/nl/nagdoc_30.3/flhtml/s/s18gcf.html

Parameters

xfloat

The argument $x$ of the function.

Returns

iml0float

The value of the function at $x$.

Raises

NagValueError

(errno $1$)

On entry, $x=⟨value⟩$.

Constraint: $x\ge 0.0$.

Notes

struve_i0ml0 evaluates an approximation to $I_0\left(x\right)-L_0\left(x\right)$.

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