naginterfaces.library.specfun.dawson_​vector

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

dawson_vector returns an array of values for Dawson’s Integral, .

For full information please refer to the NAG Library document for s15at

https://www.nag.com/numeric/nl/nagdoc_28.5/flhtml/s/s15atf.html

Parameters
xfloat, array-like, shape

The argument of the function, for .

Returns
ffloat, ndarray, shape

, the function values.

Raises
NagValueError
(errno )

On entry, .

Constraint: .

Notes

dawson_vector evaluates approximations for Dawson’s Integral

for an array of arguments , for .

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