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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`=1/2





http://functions.wolfram.com/07.22.03.9420.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {1/2, 11/4}, z] == ((2 Sqrt[z] (3273645375 + 243171957600 z - 1405080518400 z^2 + 695918346240 z^3 - 74124820480 z^4 + 2204106752 z^5 - 16777216 z^6) BesselI[-(1/4), Sqrt[z]]^2 + (-9820936125 + 41902660800 z + 1071615916800 z^2 - 653097369600 z^3 + 72775434240 z^4 - 2193620992 z^5 + 16777216 z^6) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 2 Sqrt[z] (9820936125 - 62853991200 z + 1256311330560 z^2 - 678217236480 z^3 + 73580347392 z^4 - 2199912448 z^5 + 16777216 z^6) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/ (524255846400 Sqrt[2] z^(5/4))










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