Fresnel integral C: Series representations (formula 06.33.06.0005)

FresnelC

$Mathematica Notation$

Gamma, Beta, Erf

FresnelC[z]

Series representations

Asymptotic series expansions

http://functions.wolfram.com/06.33.06.0005.01

Input Form

FresnelC[z] \[Proportional] (z^4)^(3/4)/(2 z^3) + (I/(2 Pi z)) (HypergeometricPFQ[{1, 1/2}, {}, (2 I)/(Pi z^2)]/ E^(((I Pi)/2) z^2) - E^(((I Pi)/2) z^2) HypergeometricPFQ[{1, 1/2}, {}, -((2 I)/(Pi z^2))]) /; (Abs[z] -> Infinity)

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