SpecialFuncs.ExpEI Method

function ExpEI(X: Double): Double;

Scaled exponential integral exp(-x)*Ei(x).

#NameDescription
1XArgument of the scaled exponential integral
2must not be zero.

Returns: Double - the scaled exponential integral exp(-x)*Ei(x).

Remarks:

Computes the exponentially scaled exponential integral

e^(-x) Ei(x),

which removes the dominant e^{x} growth of Ei for large positive x and decays like 1/x, avoiding overflow. For large x it tends to 0 from above. Domain: any real x \ne 0 (same singularity at the origin as Ei).

See Also: SpecialFuncs.EI, SpecialFuncs.E1