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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`=-9/2





http://functions.wolfram.com/07.22.03.9164.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(9/2), -(5/4)}, z] == (1/(70875 Sqrt[2])) (z^(1/4) ((70875 + 81900 z + 93600 z^2 + 86520 z^3 + 17920 z^4 + 2048 z^5) BesselI[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (70875 + 25200 z + 12645 z^2 + 2400 z^3 + 256 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 4 z (-70875 + 31500 z + 22950 z^2 + 4608 z^3 + 512 z^4) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^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