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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=5, b1>=-23/4 > For fixed z and a1=5, b1=1/4





http://functions.wolfram.com/07.22.03.7591.01









  


  










Input Form





HypergeometricPFQ[{5}, {1/4, 19/4}, -z] == (1/(4194304 z^(15/4))) (1155 (4 z^(3/4) (8085 - 3360 z + 864 z^2 + 512 z^3) + Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] ((-24255 + 51660 z - 23280 z^2 + 6656 z^3 + 4096 z^4) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-24255 + 19320 z - 6144 z^2 + 2048 z^3) Sin[2 Sqrt[z]]) - Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (-2 Sqrt[z] (-24255 + 19320 z - 6144 z^2 + 2048 z^3) Cos[2 Sqrt[z]] + (-24255 + 51660 z - 23280 z^2 + 6656 z^3 + 4096 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