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FresnelC
FresnelC[
z
] gives the Fresnel integral  .
Mathematical function (see Section A.3.10).
FresnelC[
z
] is given by  .
FresnelC[
z
] is an entire function of z with no branch cut discontinuities.
See the Mathematica book: Section 3.2.10.
See also: Erf, CosIntegral.
Further Examples
This is the derivative.
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This is the integral.
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This is a series expansion around  .
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If we plot the points {FresnelC[t],FresnelS[t]} as a function of the parameter  , we obtain the curve called the Cornu spiral.
Evaluate the cell to see the graphic. (This may take a few minutes. We use the symmetry of the functions to cut the calculation time in half.)
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