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





http://functions.wolfram.com/07.22.03.abn7.01









  


  








Input Form





HypergeometricPFQ[{1/4}, {-(3/2), 17/4}, -z] == (1/(4194304 z^(13/4))) (195 (7 Sqrt[Pi] (141075 + 39600 z + 8448 z^2 + 4096 z^3) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) (11 (89775 - 70560 z + 2816 z^2) Cos[2 Sqrt[z]] + 4 Sqrt[z] (329175 - 58080 z + 1792 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