naginterfaces.library.specfun.dawson

naginterfaces.library.specfun.dawson(x)[source]

dawson returns a value for Dawson’s Integral, .

For full information please refer to the NAG Library document for s15af

https://www.nag.com/numeric/nl/nagdoc_28.5/flhtml/s/s15aff.html

Parameters
xfloat

The argument of the function.

Returns
ffloat

The value of Dawson’s Integral, .

Notes

dawson evaluates an approximation for Dawson’s Integral

The function is based on two Chebyshev expansions:

For ,

For ,

For near zero, , and for large, . These approximations are used for those values of for which the result is correct to machine precision.

References

NIST Digital Library of Mathematical Functions