FresnelC
The Fresnel Cosine Integral
FresnelS
The Fresnel Sine Integral
Fresnelf, Fresnelg
The Fresnel Auxiliary Functions
Calling Sequence
Parameters
Description
Examples
FresnelC(x)
FresnelS(x)
Fresnelg(x)
Fresnelf(x)
x
-
algebraic expression
The Fresnel cosine integral is defined as follows:
FresnelCx=∫0xcosπt22ⅆt
The Fresnel sine integral is defined as follows:
FresnelSx=∫0xsinπt22ⅆt
The Fresnel auxiliary functions are defined as follows:
Fresnelfx=12−FresnelSxcos12πx2−12−FresnelCxsin12πx2
Fresnelgx=12−FresnelCxcos12πx2+12−FresnelSxsin12πx2
FresnelS∞
12
FresnelC1
evalf
0.7798934004
Fresnelf1.0
0.2798934004
See Also
dawson
erf
initialfunctions
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