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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=4, b1>=-23/4 > For fixed z and a1=4, b1=-3/4





http://functions.wolfram.com/07.22.03.7277.01









  


  










Input Form





HypergeometricPFQ[{4}, {-(3/4), 19/4}, -z] == (1/(131072 z^(15/4))) (385 (4 z^(3/4) (72765 - 22260 z + 3216 z^2 - 256 z^3) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((218295 - 441000 z + 154800 z^2 - 23424 z^3 + 2048 z^4) Cos[2 Sqrt[z]] + 6 Sqrt[z] (72765 - 49980 z + 10832 z^2 - 1280 z^3) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (6 Sqrt[z] (-72765 + 49980 z - 10832 z^2 + 1280 z^3) Cos[2 Sqrt[z]] + (218295 - 441000 z + 154800 z^2 - 23424 z^3 + 2048 z^4) 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