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FresnelC




Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > FresnelC[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and hyperbolic functions > Involving exp and sinh





http://functions.wolfram.com/06.33.21.0086.01









  


  








Input Form





Integrate[E^(b z^2) Sinh[c z^2] FresnelC[a z], z] == (a/4) Sum[(((-1)^k Pi^(2 k) a^(4 k))/(2^(2 k) ((4 k + 1) (2 k)!))) ((b + c)^(-2 k - 1) Gamma[1 + 2 k, (-(b + c)) z^2] - (b - c)^(-2 k - 1) Gamma[1 + 2 k, (-(b - c)) z^2]), {k, 0, 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