Skip to content

FresnelC

Status: Stable

documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

Description

FresnelC[z]
    gives the Fresnel integral C(z) = Integral_0^z Cos[Pi t^2/2] dt.
An entire, odd function with no branch cuts. FresnelC[0] = 0,
FresnelC[+-Infinity] = +-1/2, FresnelC[+-I Infinity] = +-I/2.
Real and complex inputs evaluate numerically at machine or arbitrary (MPFR)
precision; D[FresnelC[z], z] = Cos[Pi z^2/2]. Listable.

Examples

No verified examples yet for this function.

Implementation notes

Attributes: Listable, NumericFunction, Protected.

Implementation status

Stable — documented, exercised by the test suite and/or worked examples, with no known limitations recorded.

References