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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1},{b1,b2},z] > Specific values > For rational parameters with larger denominators and fixed z > For fixed z and a1=6, b1>=-23/4 > For fixed z and a1=6, b1=-3/4





http://functions.wolfram.com/07.22.03.7851.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(3/4), 7/4}, -z] == (1/(245760 z^(3/4))) (12 z^(3/4) (17165 + 48160 z - 3328 z^2) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((29835 + 358020 z + 1272960 z^2 - 80896 z^3) Cos[2 Sqrt[z]] + 2 Sqrt[z] (29835 + 397800 z - 262656 z^2 + 2048 z^3) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (29835 + 397800 z - 262656 z^2 + 2048 z^3) Cos[2 Sqrt[z]] + (-29835 - 358020 z - 1272960 z^2 + 80896 z^3) Sin[2 Sqrt[z]]))










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