Difference between revisions of "Exponential integral Ei"
From specialfunctionswiki
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| − | The exponential integral $\mathrm{Ei}$ is defined by | + | The exponential integral $\mathrm{Ei}$ is defined for $x>0$ by |
| − | $$\mathrm{Ei}( | + | $$\mathrm{Ei}(x) = \int_{-\infty}^x \dfrac{e^t}{t} \mathrm{d}t.$$ |
Revision as of 18:40, 7 August 2016
The exponential integral $\mathrm{Ei}$ is defined for $x>0$ by $$\mathrm{Ei}(x) = \int_{-\infty}^x \dfrac{e^t}{t} \mathrm{d}t.$$
Graph of $\mathrm{Ei}$.
Domain coloring of $\mathrm{Ei}$.
Properties
Relationship between logarithmic integral and exponential integral
Exponential integral Ei series
Relationship between exponential integral Ei, cosine integral, and sine integral
See Also
References
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $5.1.2$
On certain definite integrals involving the exponential-integral - J.W.L. Glaisher
Exp integral $\mathrm{Ei}$
