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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.)

    In[4]:=