SpecialFuncs.E1 Method

Double E1(Double X)

Exponential integral E1(x) = -Ei(-x).

#NameDescription
1XArgument of the exponential integral
2must be greater than zero.

Returns: Double - the exponential integral E1(x) = -Ei(-x).

Remarks:

Computes the exponential integral of the first kind,

E_1(x)=integral _x^(inf)(e^(-t))/t dt=-Ei(-x),

defined and positive for x > 0, decreasing monotonically from +\infty at x\to 0^+ toward 0 as x\to\infty (asymptotically e^{-x}/x). Domain: real x > 0.

See Also: SpecialFuncs.EI, SpecialFuncs.ExpEI