Difference between revisions of "Logarithmic integral"
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| + | * {{PaperReference|On certain definite integrals involving the exponential-integral|1881|James Whitbread Lee Glaisher|prev=Exponential integral Ei series|next=Relationship between logarithmic integral and exponential integral}} | ||
* {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Exponential integral Ei|next=Exponential integral E}}: $5.1.3$ | * {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=Exponential integral Ei|next=Exponential integral E}}: $5.1.3$ | ||
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[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Latest revision as of 03:33, 17 March 2018
The logarithmic integral is $$\mathrm{li}(x) = \displaystyle\int_0^x \dfrac{1}{\log(t)} \mathrm{d}t,$$ where $\log$ denotes the logarithm.
Graph of $\mathrm{li}$.
Domain coloring of $\mathrm{li}$.
Properties
Relationship between logarithmic integral and exponential integral
Prime number theorem, logarithmic integral
See Also
References
- James Whitbread Lee Glaisher: On certain definite integrals involving the exponential-integral (1881)... (previous)... (next)
- 1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next): $5.1.3$
