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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=2, b1>=-23/4 > For fixed z and a1=2, b1=-9/4





http://functions.wolfram.com/07.22.03.6653.01









  


  










Input Form





HypergeometricPFQ[{2}, {-(9/4), 17/4}, -z] == (1/(512 z^(13/4))) (13 (2 z^(1/4) (93555 - 27972 z + 3360 z^2 - 64 z^3) - Sqrt[Pi] FresnelS[(2 z^(1/4))/Sqrt[Pi]] (2 Sqrt[z] (-93555 + 52920 z - 6384 z^2 + 128 z^3) Cos[2 Sqrt[z]] + 3 (31185 - 59220 z + 14560 z^2 - 832 z^3) Sin[2 Sqrt[z]]) + Sqrt[Pi] FresnelC[(2 z^(1/4))/Sqrt[Pi]] (3 (-31185 + 59220 z - 14560 z^2 + 832 z^3) Cos[2 Sqrt[z]] + 2 Sqrt[z] (-93555 + 52920 z - 6384 z^2 + 128 z^3) 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