s18cf returns a value of the scaled modified Bessel function .
Syntax
C# |
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public static double s18cf( double x ) |
Visual Basic |
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Public Shared Function s18cf ( _ x As Double _ ) As Double |
Visual C++ |
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public: static double s18cf( double x ) |
F# |
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static member s18cf : x : float -> float |
Parameters
- x
- Type: System..::..DoubleOn entry: the argument of the function.
Return Value
s18cf returns a value of the scaled modified Bessel function .
Description
s18cf evaluates an approximation to , where is a modified Bessel function of the first kind. The scaling factor removes most of the variation in .
The method uses the same Chebyshev expansions as s18af, which returns the unscaled value of .
References
Abramowitz M and Stegun I A (1972) Handbook of Mathematical Functions (3rd Edition) Dover Publications
Error Indicators and Warnings
There are no actual failure exits from this method. _ifail is always set to zero. This parameter is included for compatibility with other methods in this chapter.
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.
Parallelism and Performance
None.
Further Comments
None.
Example
This example reads values of the argument from a file, evaluates the function at each value of and prints the results.
Example program (C#): s18cfe.cs