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NAG[s18ccc] NAG[nag_bessel_k0_scaled] - Scaled modified Bessel function

Calling Sequence

s18ccc(x, 'fail'=fail)

nag_bessel_k0_scaled(. . .)

Parameters

x - float;

On entry: the argument of the function.

Constraint: . .

'fail'=fail - table; (optional)

The NAG error argument, see the documentation for NagError.

Description

	Purpose
	nag_bessel_k0_scaled (s18ccc) returns a value of the scaled modified Bessel function .

	Description
	nag_bessel_k0_scaled (s18ccc) evaluates an approximation to , where is a modified Bessel function of the second kind. The scaling factor removes most of the variation in . The function uses the same Chebyshev expansions as s18acc (nag_bessel_k0), which returns the unscaled value of .

	Error Indicators and Warnings
	"NE_REAL_ARG_LE" On entry, x must not be less than or equal to 0.0: . is undefined and the function returns zero.

	Accuracy
	Relative errors in the argument are attenuated when propagated into the function value. When the accuracy of the argument is essentially limited by the machine precision, the accuracy of the function value will be similarly limited by at most a small multiple of the machine precision.

	Further Comments
	None.

Examples

>	x := 0.4: NAG:-s18ccc(x);

	See Also
	Abramowitz M and Stegun I A (1972) Handbook of Mathematical Functions (3rd Edition) Dover Publications s Chapter Introduction. NAG Toolbox Overview. NAG Web Site.