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| {\rm Ei}(x) = \gamma + \ln |x| + \sum_{k=1}^\infty \frac{x^k}{k\cdot k!} |
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| {\rm Ei}(x) = e^x \, \left[ \frac{1}{x} + \sum_{k=2}^\infty \frac{(k-1)!}{x^k} \right] |
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| {\rm Ei}(-x) \sim \gamma + \ln x |
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| {\rm Ei}(x) \sim \gamma + \ln x |
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Application
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Thereal-argument and real-value function real-value positive function of the time and radial coordinate and :
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{\rm w}(t, r) = E_1 \left( \frac{r^2}{4 \, t} \right) = -{\rm Ei} \left( - \frac{r^2}{4 \, t} \right) |
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