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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=6, b1>=-23/4 > For fixed z and a1=6, b1=-13/4





http://functions.wolfram.com/07.22.03.7765.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(13/4), -(11/4)}, -z] == (1/2027025) (2027025 - 1360800 z + 1209600 z^2 - 3440640 z^3 - 21447720 z^4 + 1123584 z^5 - 2048 z^6 + 4 Sqrt[Pi] z^(15/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-5 (2560383 - 760032 z + 7936 z^2) Cos[2 Sqrt[z]] + 4 Sqrt[z] (2893905 - 142880 z + 256 z^2) Sin[2 Sqrt[z]]) - 4 Sqrt[Pi] z^(15/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] (4 Sqrt[z] (2893905 - 142880 z + 256 z^2) Cos[2 Sqrt[z]] + 5 (2560383 - 760032 z + 7936 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