Difference between revisions of "Exponential integral Ei"

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=Properties=
 
=Properties=
{{:Relationship between logarithmic integral and exponential integral}}
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[[Relationship between logarithmic integral and exponential integral]]<br />
 
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[[Exponential integral Ei series]]<br />
{{:Exponential integral Ei series}}
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[[Relationship between exponential integral Ei, cosine integral, and sine integral]]<br />
 
 
{{:Relationship between exponential integral Ei, cosine integral, and sine integral}}
 
  
 
=References=
 
=References=

Revision as of 08:04, 8 June 2016

The exponential integral $\mathrm{Ei}$ is defined by $$\mathrm{Ei}(z) = \int_{-\infty}^x \dfrac{e^t}{t} \mathrm{d}t, \quad \left|\mathrm{arg}(-z) \right|<\pi.$$


Properties

Relationship between logarithmic integral and exponential integral
Exponential integral Ei series
Relationship between exponential integral Ei, cosine integral, and sine integral

References

Exponential Integral and Related Functions
On certain definite integrals involving the exponential-integral - J.W.L. Glaisher

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