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@wikipedia


Two different functions are called this way:


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{\rm Ei}(x) = - \int_{-x}^{\infty} \frac{e^{-\xi}}{\xi} \, d\xi



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{\rm E_1}(x) = \int_{x}^{\infty} \frac{e^{-\xi}}{\xi} \, d\xi


which are related to each other as:

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{\rm Ei}(x) = - E_1(-x)



For the positive argument 

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it can be expressed as slowly converging sum:

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