Difference between revisions of "Fresnel S"
From specialfunctionswiki
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The Fresnel $S$ function is defined by | The Fresnel $S$ function is defined by | ||
$$S(z)=\int_0^z \sin \left(t^2 \right) \mathrm{d}t.$$ | $$S(z)=\int_0^z \sin \left(t^2 \right) \mathrm{d}t.$$ | ||
| − | (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.) |
<div align="center"> | <div align="center"> | ||
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)
