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For the small arguments 

LaTeX Math Inline
body|x| \ll 1
it can be expressed approximated as slowly converging sum::

LaTeX Math Inline
body-1 \ll x <0

LaTeX Math Inline
body0 < x \ll 1


LaTeX Math Block
anchor2
alignmentleft
{\rm Ei}(x) = -\gamma

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- \ln

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(-x)



LaTeX Math Block
anchor2
alignmentleft
{\rm Ei}(x) = \gamma + \ln x


where 

LaTeX Math Inline
body\gamma = 0.577 ...
 is Euler–Mascheroni constant.

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