Difference between revisions of "Sievert integral"
From specialfunctionswiki
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| − | The Sievert integral is defined by | + | The Sievert integral $S(z)$ is defined by |
| − | $$\int_0^{\theta} e^{-z \sec \phi} \mathrm{d} \phi | + | $$S(z,\theta)=\int_0^{\theta} e^{-z \sec \phi} \mathrm{d} \phi,$$ |
| + | where $e^{*}$ denotes the [[exponential]] and $\sec$ denotes [[secant]]. | ||
=Properties= | =Properties= | ||
Revision as of 01:57, 21 December 2016
The Sievert integral $S(z)$ is defined by $$S(z,\theta)=\int_0^{\theta} e^{-z \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
