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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=3/4, b1`>=-11/2 > For fixed z and a1=3/4, b1`=-1/2





http://functions.wolfram.com/07.22.03.ac4k.01









  


  








Input Form





HypergeometricPFQ[{3/4}, {-(1/2), 19/4}, -z] == -((1/(8388608 z^(15/4))) (1155 (5 Sqrt[Pi] (459459 + 117936 z + 20736 z^2 + 4096 z^3) FresnelS[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) (4 Sqrt[z] (765765 - 153504 z + 1280 z^2) Cos[2 Sqrt[z]] + (-2297295 + 1860768 z - 97024 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