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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=3, b1>=-23/4 > For fixed z and a1=3, b1=-17/4





http://functions.wolfram.com/07.22.03.6861.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(17/4), -(3/4)}, -z] == (1/29835) (29835 - 28080 z + 89280 z^2 + 5120 z^3 + 2048 z^4 - 32 Sqrt[Pi] z^(7/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((2475 - 3240 z - 896 z^2) Cos[2 Sqrt[z]] + 2 Sqrt[z] (2475 + 60 z + 64 z^2) Sin[2 Sqrt[z]]) + 32 Sqrt[Pi] z^(7/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (2475 + 60 z + 64 z^2) Cos[2 Sqrt[z]] + (-2475 + 3240 z + 896 z^2) 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