Difference between revisions of "Exponential integral E"
From specialfunctionswiki
Line 4: | Line 4: | ||
The exponential integral is related to the [[logarithmic integral]] by the formula | The exponential integral is related to the [[logarithmic integral]] by the formula | ||
$$\mathrm{li}(x)=\mathrm{Ei}( \log(x)).$$ | $$\mathrm{li}(x)=\mathrm{Ei}( \log(x)).$$ | ||
+ | =Videos= | ||
+ | [https://www.youtube.com/watch?v=TppV_yDY3EQ Laplace transform of exponential integral]<br /> |
Revision as of 05:05, 19 January 2015
The exponential integrals are $$\mathrm{Ei}(z) = \int_{-\infty}^x \dfrac{e^t}{t} dt; |\mathrm{arg}(-z)|<\pi$$ and The exponential integral is related to the logarithmic integral by the formula $$\mathrm{li}(x)=\mathrm{Ei}( \log(x)).$$