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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=-1/4





http://functions.wolfram.com/07.22.03.7001.01









  


  










Input Form





HypergeometricPFQ[{3}, {-(1/4), 21/4}, -z] == (1/(131072 z^(17/4))) (9945 (2 z^(1/4) (-110565 + 34776 z - 4560 z^2 + 128 z^3) - Sqrt[Pi] (-117 + 16 z) FresnelC[(2 z^(1/4))/Sqrt[Pi]] (15 (63 - 112 z + 16 z^2) Cos[2 Sqrt[z]] + 2 Sqrt[z] (945 - 420 z + 16 z^2) Sin[2 Sqrt[z]]) + Sqrt[Pi] (-117 + 16 z) FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (945 - 420 z + 16 z^2) Cos[2 Sqrt[z]] - 15 (63 - 112 z + 16 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