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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=-17/4, b1`>=-11/2 > For fixed z and a1=-17/4, b1`=11/2





http://functions.wolfram.com/07.22.03.a7wa.01









  


  










Input Form





HypergeometricPFQ[{-(17/4)}, {11/2, 9/4}, z] == ((-4 z (19538493975 - 17367550200 z - 1840559094990 z^2 + 2209826092320 z^3 - 446525291520 z^4 + 24589221888 z^5 - 430309376 z^6 + 2097152 z^7) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (32564156625 - 26051325300 z - 216531540225 z^2 + 926377618320 z^3 - 212815680000 z^4 + 12107898880 z^5 - 214237184 z^6 + 1048576 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + (-488462349375 + 347351004000 z - 486291405600 z^2 - 2232695064600 z^3 + 7591561971840 z^4 - 1714002554880 z^5 + 97074216960 z^6 - 1714946048 z^7 + 8388608 z^8) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)/ (3122847937440 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