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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=4, b1>=-23/4 > For fixed z and a1=4, b1=-1/4





http://functions.wolfram.com/07.22.03.7285.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(1/4), 9/4}, -z] == (1/(3072 z^(5/4))) (5 (2 z^(1/4) (63 - 180 z + 64 z^2) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (63 - 504 z + 128 z^2) Cos[2 Sqrt[z]] + 21 (-3 + 28 z + 64 z^2) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (21 (-3 + 28 z + 64 z^2) Cos[2 Sqrt[z]] - 2 Sqrt[z] (63 - 504 z + 128 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