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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=-19/4





http://functions.wolfram.com/07.22.03.6837.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(19/4), -(9/4)}, -z] == (1/2962575) (2962575 - 831600 z + 354816 z^2 - 860160 z^3 + 479232 z^4 - 32768 z^5 - 1024 Sqrt[Pi] z^(13/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((1071 - 1092 z + 64 z^2) Cos[2 Sqrt[z]] + 42 Sqrt[z] (51 + 16 z) Sin[2 Sqrt[z]]) + 1024 Sqrt[Pi] z^(13/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-42 Sqrt[z] (51 + 16 z) Cos[2 Sqrt[z]] + (1071 - 1092 z + 64 z^2) 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