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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=-11/4, b1`>=-11/2 > For fixed z and a1=-11/4, b1`=-9/2





http://functions.wolfram.com/07.22.03.a8vb.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {-(9/2), 21/4}, -z] == (221 (Sqrt[Pi] (285447819281625 + 70264078592400 z + 12088443628800 z^2 + 2387840716800 z^3 + 1661106585600 z^4 - 279765319680 z^5 + 14210301952 z^6 - 268435456 z^7) FresnelC[(2 z^(1/4))/Sqrt[Pi]] + 2 z^(1/4) ((-285447819281625 + 234213595308000 z - 14467756343040 z^2 + 124043673600 z^3 - 18379898880 z^4 + 903872512 z^5 - 16777216 z^6) Cos[2 Sqrt[z]] + 4 Sqrt[z] (-95149273093875 + 20075451026400 z - 352361560320 z^2 - 107504517120 z^3 + 17658740736 z^4 - 891289600 z^5 + 16777216 z^6) Sin[2 Sqrt[z]])))/ (346346162749440 z^(17/4))










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