Difference between revisions of "Fresnel S"
From specialfunctionswiki
(→Properties) |
|||
| Line 1: | Line 1: | ||
The Fresnel $S$ function is defined by | The Fresnel $S$ function is defined by | ||
| − | $$S(z)=\int_0^z \sin(t^2) | + | $$S(z)=\int_0^z \sin \left(t^2 \right) \mathrm{d}t.$$ |
(Note in Abramowitz&Stegun it [http://dualaud.net/specialfunctionswiki/abramowitz_and_stegun-1.03/page_300.htm is defined] differently.) | (Note in Abramowitz&Stegun it [http://dualaud.net/specialfunctionswiki/abramowitz_and_stegun-1.03/page_300.htm is defined] differently.) | ||
Revision as of 22:42, 23 May 2016
The Fresnel $S$ function is defined by $$S(z)=\int_0^z \sin \left(t^2 \right) \mathrm{d}t.$$ (Note in Abramowitz&Stegun it is defined differently.)
Graph of $S$.
Domain coloring of analytic continuation of Fresnel $S$.
See Also
Videos
The Fresnel Integral S(x) - How to integrate sin(x^2)
