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FresnelC






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > FresnelC[z] > Differential equations > Ordinary linear differential equations and wronskians > For the direct function itself





http://functions.wolfram.com/06.33.13.0008.01









  


  










Input Form





z^3 Derivative[3][w][z] + (3 - 4 r - 3 s) z^2 Derivative[2][w][z] + z (1 + 3 (-1 + s) s + r (-4 + 8 s) + r^2 (3 + a^4 Pi^2 z^(4 r))) Derivative[1][w][z] - s (4 r s + s^2 + r^2 (3 + a^4 Pi^2 z^(4 r))) w[z] == 0 /; w[z] == Subscript[c, 1] z^s FresnelC[a z^r] + Subscript[c, 2] z^s FresnelS[a z^r] + Subscript[c, 3] z^s










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)





2007-05-02





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