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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=5, b1>=-23/4 > For fixed z and a1=5, b1=9/4





http://functions.wolfram.com/07.22.03.7629.01









  


  










Input Form





HypergeometricPFQ[{5}, {9/4, 23/4}, -z] == -((1/(134217728 z^(19/4))) (109725 (4 z^(3/4) (17325 - 5412 z + 832 z^2) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-51975 + 36036 z - 8064 z^2 + 1024 z^3) Cos[2 Sqrt[z]] + 3 (17325 - 35112 z + 12544 z^2 - 2048 z^3) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (3 (-17325 + 35112 z - 12544 z^2 + 2048 z^3) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-51975 + 36036 z - 8064 z^2 + 1024 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