Difference between revisions of "Fresnel S"

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=Properties=
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[[Fresnel S is odd]] <br />
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[[Taylor series for Fresnel S]]<br />
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[[Fresnel S in terms of erf]]<br />
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[[Limiting value of Fresnel S]]<br />
  
 
=See Also=
 
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=Videos=
 
=Videos=
[https://www.youtube.com/watch?v=fFZ6BsH99-0 The Fresnel Integral S(x) - How to integrate sin(x^2)]<br />
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[https://www.youtube.com/watch?v=fFZ6BsH99-0 The Fresnel Integral S(x) - How to integrate sin(x^2) (12 February 2015)]<br />
 
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[https://www.youtube.com/watch?v=H3uOq7VujYA Math and Physics: The Fresnel Integrals (12 May 2016)] <br />
 
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Latest revision as of 17:21, 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.)

Properties

Fresnel S is odd
Taylor series for Fresnel S
Fresnel S in terms of erf
Limiting value of Fresnel S

See Also

Fresnel C

Videos

The Fresnel Integral S(x) - How to integrate sin(x^2) (12 February 2015)
Math and Physics: The Fresnel Integrals (12 May 2016)

$\ast$-integral functions