Difference between revisions of "Sievert integral"
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| − | The Sievert integral is defined by | + | The Sievert integral $S$ is defined by |
| − | $$\int_0^{\theta} e^{- | + | $$S(x,\theta)=\int_0^{\theta} e^{-x \sec(\phi)} \mathrm{d} \phi,$$ |
| + | where $e^{*}$ denotes the [[exponential]] and $\sec$ denotes [[secant]]. | ||
=Properties= | =Properties= | ||
| + | [[Asymptotic behavior of Sievert integral]]<br /> | ||
| + | [[Relationship between Sievert integral and exponential integral E]]<br /> | ||
| + | [[Relationship between Sievert integral and Bessel K]]<br /> | ||
=External links= | =External links= | ||
| Line 9: | Line 13: | ||
=References= | =References= | ||
| + | {{BookReference|Handbook of mathematical functions|1964|Milton Abramowitz|author2=Irene A. Stegun|prev=findme|next=Asymptotic behavior of Sievert integral}} | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Latest revision as of 02:09, 21 December 2016
The Sievert integral $S$ is defined by $$S(x,\theta)=\int_0^{\theta} e^{-x \sec(\phi)} \mathrm{d} \phi,$$ where $e^{*}$ denotes the exponential and $\sec$ denotes secant.
Properties
Asymptotic behavior of Sievert integral
Relationship between Sievert integral and exponential integral E
Relationship between Sievert integral and Bessel K
External links
References
1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next)
