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FresnelS

Status: Stable

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

Description

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