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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=5, b1>=-23/4 > For fixed z and a1=5, b1=-1/4





http://functions.wolfram.com/07.22.03.7573.01









  


  










Input Form





HypergeometricPFQ[{5}, {-(1/4), 5/4}, -z] == (1/(6144 z^(1/4))) (-2 z^(1/4) (393 - 6648 z + 128 z^2) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] ((3465 + 36960 z - 6912 z^2) Cos[2 Sqrt[z]] + 2 Sqrt[z] (3465 - 14112 z + 256 z^2) Sin[2 Sqrt[z]]) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (3465 - 14112 z + 256 z^2) Cos[2 Sqrt[z]] + 3 (-1155 - 12320 z + 2304 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