Difference between revisions of "Fresnel C"
From specialfunctionswiki
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| + | [[Fresnel C is odd]]<br /> | ||
| + | [[Taylor series for Fresnel C]]<br /> | ||
| + | [[Fresnel C in terms of erf]]<br /> | ||
| + | [[Limiting value of Fresnel C]]<br /> | ||
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Revision as of 17:23, 5 October 2016
The Fresnel C function is defined by the formula $$C(x)=\int_0^x \cos(t^2) \mathrm{d}t.$$ (Note in Abramowitz&Stegun it is defined differently.)
Graph of $C$.
Domain coloring of Fresnel $C$.
Properties
Fresnel C is odd
Taylor series for Fresnel C
Fresnel C in terms of erf
Limiting value of Fresnel C
See Also
Videos
How to integrate cos(x^2) - The Fresnel Integral C(x) (2 December 2014)
Math and Physics: The Fresnel Integrals (12 May 2016)
