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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=1, b1>=-23/4 > For fixed z and a1=1, b1=19/4





http://functions.wolfram.com/07.22.03.6491.01









  


  








Input Form





HypergeometricPFQ[{1}, {19/4, 21/4}, -z] == (1/(131072 z^(17/4))) (255 (2 z^(1/4) (-135135 + 144144 z - 36608 z^2 + 4096 z^3) + 135135 Sqrt[Pi] Cos[2 Sqrt[z]] FresnelC[(2 z^(1/4))/Sqrt[Pi]] + 135135 Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] 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