Difference between revisions of "Sievert integral"
From specialfunctionswiki
| Line 1: | Line 1: | ||
__NOTOC__ | __NOTOC__ | ||
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]]. | ||
Revision as of 02:07, 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
