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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=2, b1>=-23/4 > For fixed z and a1=2, b1=-23/4





http://functions.wolfram.com/07.22.03.6511.01









  


  










Input Form





HypergeometricPFQ[{2}, {-(23/4), 7/4}, -z] == (1/(504735 z^(3/4))) ((-z^(3/4)) (215985 + 248160 z - 52992 z^2 + 1024 z^3) - 4 Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((-135135 + 166320 z + 100800 z^2 - 25088 z^3 + 512 z^4) Cos[2 Sqrt[z]] - 2 Sqrt[z] (135135 + 13860 z - 34272 z^2 + 2624 z^3) Sin[2 Sqrt[z]]) + 4 Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (135135 + 13860 z - 34272 z^2 + 2624 z^3) Cos[2 Sqrt[z]] + (-135135 + 166320 z + 100800 z^2 - 25088 z^3 + 512 z^4) 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