Wolfram Researchfunctions.wolfram.comOther Wolfram Sites
Search Site
Function CategoriesGraphics GalleryNotationsGeneral IdentitiesAbout This Site Email Comments

View Related Information In
The Documentation Center
MathWorld

Download All Formulas For This Function
Mathematica Notebook
PDF File

Download All Introductions For This Function
Mathematica Notebook
PDF File

 

Developed with Mathematica -- Download a Free Trial Version
 











FresnelC






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > FresnelC[z] > Introduction to the Fresnel integrals





Connections within the group of Fresnel integrals and with other function groups

Representations through more general functions

The Fresnel integrals and are particular cases of the more general functions: hypergeometric and Meijer G functions.

For example, they can be represented through regularized hypergeometric functions :

These two integrals can also be expressed through generalized and classical Meijer G functions:

The first two formulas are simpler than the last two classical representations (which include factors like ).

Representations through related equivalent functions

The Fresnel integrals and can be represented through a combination of probability integrals with corresponding values of , , and :