Fresnel integral C: Integral transforms (formula 06.33.22.0001)

FresnelC

$Mathematica Notation$

http://functions.wolfram.com/06.33.22.0001.01

Input Form

LaplaceTransform[FresnelC[t], t, z] == (1/(2 z)) (Sin[z^2/(2 Pi)] (2 FresnelC[z/Pi] - 1) - Cos[z^2/(2 Pi)] (2 FresnelS[z/Pi] - 1)) /; Re[z] > 0

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2001-10-29