Sievert integral

The Sievert integral, named after Swedish medical physicist Rolf Sievert, is a special function commonly encountered in radiation transport calculations. It plays a role in the sievert (symbol: Sv) unit of ionizing radiation dose in the International System of Units (SI).

Definition

[math]\displaystyle{ F(x,\theta)=\int_0^\theta {e^{-x\sec(\varphi)}}\,d{\varphi}. }[/math]

References

• Abramowitz, Milton; Stegun, Irene Ann, eds (1983). "Chapter 27". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. pp. 1001. LCCN 65-12253. ISBN 978-0-486-61272-0. http://www.math.sfu.ca/~cbm/aands/page_1001.htm. 

External links

• Weisstein, Eric W.. "Sievert Integral". http://mathworld.wolfram.com/SievertIntegral.html.