Page tree

Versions Compared

Key

  • This line was added.
  • This line was removed.
  • Formatting was changed.

...

LaTeX Math Block
anchor2KSEE
alignmentleft
{\rm Ei}(x) = - E_1(-x)

There is a trend to moving from 

LaTeX Math Inline
body\rm Ei
 definition which was dominating in the past towards  
LaTeX Math Inline
body\rm E_1
.


For the small arguments For the positive argument 

LaTeX Math Inline
bodyx>0|x| \ll 1
it can be expressed as slowly converging sum:

LaTeX Math Block
anchor2
alignmentleft
{\rm Ei}(x) = \gamma + \ln |x| + \sum_{k=1}^{\infty} \frac{x^k}{k \cdot k!}, \quad x>0

...