gives the Fresnel auxiliary function .


  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • TemplateBox[{z}, FresnelG]=(1/2-TemplateBox[{z}, FresnelC]) cos(pi z^2/2)+(1/2-TemplateBox[{z}, FresnelS]) sin(pi z^2/2).
  • FresnelG[z] is an entire function of z with no branch cut discontinuities.
  • For certain special arguments, FresnelG automatically evaluates to exact values.
  • FresnelG can be evaluated to arbitrary numerical precision.
  • FresnelG automatically threads over lists.
Introduced in 2014