AngouriMath

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Ei​(AngouriMath.​Entity)

 Method (no overloads)

Summary

The exponential integral, Ei(z) = gamma + (ln z - ln(1/z))/2 + sum z^k/(k k!)

Parameter "a"

The argument, any complex number but 0

Returns

The Eif node

Remarks

On the real line Ei(x) is the principal value of int_-oo^x e^t/t dt, real on
either side of 0, so it is what int e^x/x dx is in closed form. Off it, the cut is
the negative real axis, as for ln, but Ei keeps its real value on the cut
itself: Ei(-1) is about -0.2194, and just above the axis it is i pi more.
https://github.com/asc-community/AngouriMath/issues/1501

























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