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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=1, b1>=-23/4 > For fixed z and a1=1, b1=-17/4





http://functions.wolfram.com/07.22.03.6291.01









  


  










Input Form





HypergeometricPFQ[{1}, {-(17/4), 9/4}, -z] == (1/(1989 z^(5/4))) (z^(1/4) (-41580 + 11061 z - 688 z^2) - 2 Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((-10395 + 18900 z - 3360 z^2 + 64 z^3) Cos[2 Sqrt[z]] - 42 Sqrt[z] (495 - 240 z + 16 z^2) Sin[2 Sqrt[z]]) - 2 Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (42 Sqrt[z] (495 - 240 z + 16 z^2) Cos[2 Sqrt[z]] + (-10395 + 18900 z - 3360 z^2 + 64 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