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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`=-11/2





http://functions.wolfram.com/07.22.03.a8tw.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {-(11/2), 19/4}, z] == ((2 Sqrt[z] (14235360764625 + 12631446828000 z + 85275590400 z^2 + 162041118720 z^3 + 25528565760 z^4 + 1121976320 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]]^2 - (42706082293875 + 102970275408000 z + 12023858246400 z^2 + 250925875200 z^3 + 26257981440 z^4 + 1132462080 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (-42706082293875 - 11863966514400 z - 596929132800 z^2 + 168892416000 z^3 + 25815613440 z^4 + 1126170624 z^5 + 16777216 z^6) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (235552112640 Sqrt[2] z^(13/4))










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