FresnelF

FresnelF[z]

gives the Fresnel auxiliary function .

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • TemplateBox[{z}, FresnelF]=(1/2-TemplateBox[{z}, FresnelS]) cos(pi z^2/2)-(1/2-TemplateBox[{z}, FresnelC]) sin(pi z^2/2).
  • FresnelF[z] is an entire function of z with no branch cut discontinuities.
  • For certain special arguments, FresnelF automatically evaluates to exact values.
  • FresnelF can be evaluated to arbitrary numerical precision.
  • FresnelF automatically threads over lists.

Examples

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Basic Examples  (1)

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Scope  (5)

Applications  (1)

See Also

FresnelG  FresnelS  FresnelC

Introduced in 2014
(10.0)