Difference between revisions of "Sievert integral"

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__NOTOC__
 
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The Sievert integral $S$ is defined by
 
The Sievert integral $S$ is defined by
$$S(x,\theta)=\int_0^{\theta} e^{-x \sec \phi} \mathrm{d} \phi,$$
+
$$S(x,\theta)=\int_0^{\theta} e^{-x \sec(\phi)} \mathrm{d} \phi,$$
 
where $e^{*}$ denotes the [[exponential]] and $\sec$ denotes [[secant]].
 
where $e^{*}$ denotes the [[exponential]] and $\sec$ denotes [[secant]].
  
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=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

[1]

References

1964: Milton Abramowitz and Irene A. Stegun: Handbook of mathematical functions ... (previous) ... (next)