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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=-1/4





http://functions.wolfram.com/07.22.03.6415.01









  


  










Input Form





HypergeometricPFQ[{1}, {-(1/4), 1/4}, -z] == 1 + 8 Sqrt[Pi] z^(3/4) Cos[2 Sqrt[z]] FresnelC[(2 z^(1/4))/Sqrt[Pi]] + 8 Sqrt[Pi] z^(3/4) 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