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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=-21/4





http://functions.wolfram.com/07.22.03.7395.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(21/4), -(11/4)}, -z] == (1/144729585) (144729585 - 50122800 z + 20217600 z^2 - 19353600 z^3 + 71642496 z^4 + 37034496 z^5 - 991232 z^6 + 64 Sqrt[Pi] z^(15/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((-1097307 + 847044 z - 321408 z^2 + 1024 z^3) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-1097307 - 616032 z + 15616 z^2) Sin[2 Sqrt[z]]) + 64 Sqrt[Pi] z^(15/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] (-2 Sqrt[z] (-1097307 - 616032 z + 15616 z^2) Cos[2 Sqrt[z]] + (-1097307 + 847044 z - 321408 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