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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/07.22.03.7769.01









  


  










Input Form





HypergeometricPFQ[{6}, {-(13/4), -(3/4)}, -z] == (1/421200) (421200 - 1036800 z + 5229810 z^2 + 6263688 z^3 - 745728 z^4 + 2048 z^5 - Sqrt[Pi] z^(7/4) FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((5840505 - 707940 z + 7551360 z^2 - 132096 z^3) Cos[2 Sqrt[z]] + 2 Sqrt[z] (5840505 + 7079400 z - 761856 z^2 + 2048 z^3) Sin[2 Sqrt[z]]) + Sqrt[Pi] z^(7/4) FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (5840505 + 7079400 z - 761856 z^2 + 2048 z^3) Cos[2 Sqrt[z]] + 3 (-1946835 + 235980 z - 2517120 z^2 + 44032 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