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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.afgw.01









  


  










Input Form





HypergeometricPFQ[{19/4}, {-(11/2), -(15/4)}, z] == (1/(124804708875 z^(1/4))) (Sqrt[2] ((124804708875 - 220866515100 z + 32394978000 z^2 + 47880201600 z^3 + 16608049920 z^4 - 11524423680 z^5 + 46735294464 z^6 + 6102712320 z^7 + 16777216 z^8) BesselI[1/4, Sqrt[z]]^2 + 36 Sqrt[z] (13867189875 - 6051137400 z - 7990567200 z^2 - 2943494400 z^3 - 633937920 z^4 - 993607680 z^5 + 1345847296 z^6 + 29360128 z^7) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] + 4 z (124804708875 + 111946041900 z + 45649850400 z^2 + 13628260800 z^3 + 5861560320 z^4 + 3574333440 z^5 + 1330642944 z^6 + 4194304 z^7) 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