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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=-9/4





http://functions.wolfram.com/07.22.03.6941.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(9/4), 13/4}, -z] == (1/(512 z^(9/4))) (2 z^(1/4) (-4725 + 2520 z - 976 z^2 + 128 z^3) - Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (7 (-675 + 1440 z - 720 z^2 + 256 z^3) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-4725 + 3780 z - 1680 z^2 + 256 z^3) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-4725 + 3780 z - 1680 z^2 + 256 z^3) Cos[2 Sqrt[z]] - 7 (-675 + 1440 z - 720 z^2 + 256 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