Difference between revisions of "Fresnel S"
From specialfunctionswiki
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| + | =Properties= | ||
| + | [[Fresnel S is odd]] <br /> | ||
| + | [[Taylor series for Fresnel S]]<br /> | ||
| + | [[Asymptotic formula for Fresnel S]]<br /> | ||
| + | [[Fresnel S in terms of error function]]<br /> | ||
| + | [[Limiting value of Fresnel S]]<br /> | ||
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=See Also= | =See Also= | ||
Revision as of 17:12, 5 October 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 Fresnel $S$.
Properties
Fresnel S is odd
Taylor series for Fresnel S
Asymptotic formula for Fresnel S
Fresnel S in terms of error function
Limiting value of Fresnel S
See Also
Videos
The Fresnel Integral S(x) - How to integrate sin(x^2)
