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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=19/4, b1`>=-11/2 > For fixed z and a1=19/4, b1`=-3/2





http://functions.wolfram.com/07.22.03.afm0.01









  


  










Input Form





HypergeometricPFQ[{19/4}, {-(3/2), -(23/4)}, z] == (1/(15740160975 z^(1/4))) (Sqrt[2] ((15740160975 - 22811827500 z + 3649892400 z^2 - 22803137280 z^3 + 41527664640 z^4 - 10495328256 z^5 + 3161456640 z^6 + 16777216 z^7) BesselI[1/4, Sqrt[z]]^2 + 12 Sqrt[z] (5246720325 - 608315400 z - 926956800 z^2 - 8359464960 z^3 - 660602880 z^4 + 703070208 z^5 + 67108864 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 4 z (15740160975 + 19161935100 z + 18770875200 z^2 + 9083934720 z^3 - 3740958720 z^4 + 642514944 z^5 + 4194304 z^6) BesselI[5/4, Sqrt[z]]^2) Gamma[5/4]^2)










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