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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=-23/4, b1`>=-11/2 > For fixed z and a1=-23/4, b1`=1/2





http://functions.wolfram.com/07.22.03.8271.01









  


  










Input Form





HypergeometricPFQ[{-(23/4)}, {1/2, 13/4}, -z] == (Sqrt[Pi] (33204585038625 + 121433910998400 z + 2266766338636800 z^2 + 24178840945459200 z^3 + 13816480540262400 z^4 + 1786373241569280 z^5 + 73287107346432 z^6 + 1037234601984 z^7 + 4294967296 z^8) FresnelC[(2 z^(1/4))/Sqrt[Pi]] - 2 z^(1/4) ((-(-33204585038625 - 86015686957200 z + 993206619175680 z^2 + 773770378752000 z^3 + 107584608337920 z^4 + 4520659648512 z^5 + 64575504384 z^6 + 268435456 z^7)) Cos[2 Sqrt[z]] + 4 Sqrt[z] (11068195012875 + 35418224041200 z + 1385271984418560 z^2 + 844318451773440 z^3 + 110815402328064 z^4 + 4568399216640 z^5 + 64776830976 z^6 + 268435456 z^7) Sin[2 Sqrt[z]]))/ (6278877114531840 z^(9/4))










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