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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`=11/2





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









  


  










Input Form





HypergeometricPFQ[{19/4}, {11/2, -(23/4)}, z] == (1/(177666720 Sqrt[2] z^(13/4))) ((-4 z (31835443164525 + 7296392703600 z + 720335024640 z^2 + 42090209280 z^3 + 1685913600 z^4 + 32505856 z^5) BesselI[1/4, Sqrt[z]]^2 + 4 Sqrt[z] (159177215822625 + 50631049368900 z + 6361231060800 z^2 + 444466391040 z^3 + 20626636800 z^4 + 596901888 z^5 + 4194304 z^6) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] - (795886079113125 + 323900676099000 z + 51890196758400 z^2 + 4404911616000 z^3 + 237011927040 z^4 + 8642887680 z^5 + 142606336 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