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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`=-5/2





http://functions.wolfram.com/07.22.03.a8y0.01









  


  










Input Form





HypergeometricPFQ[{-(11/4)}, {-(5/2), 23/4}, z] == (19 (2 Sqrt[z] (-40397645413125 - 35024559570000 z + 555761606400 z^2 - 203877273600 z^3 + 148744765440 z^4 + 40627077120 z^5 + 4110417920 z^6 + 268435456 z^7) BesselI[-(1/4), Sqrt[z]]^2 - (-121192936239375 - 289748629170000 z - 27973334188800 z^2 + 47048601600 z^3 + 184163696640 z^4 + 43646976000 z^5 + 4278190080 z^6 + 268435456 z^7) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (121192936239375 + 31203698526000 z + 802766764800 z^2 - 138250506240 z^3 + 161001308160 z^4 + 41759539200 z^5 + 4177526784 z^6 + 268435456 z^7) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (4711042252800 Sqrt[2] 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