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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/07.22.03.9128.01









  


  










Input Form





HypergeometricPFQ[{-(19/4)}, {-(11/2), 7/4}, z] == ((2 Sqrt[z] (60162465825 + 67162510800 z + 13198671360 z^2 + 1104650240 z^3 + 47775744 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]]^ 2 - (-114577588125 + 77986616400 z + 13981524480 z^2 + 1136271360 z^3 + 48431104 z^4 + 1048576 z^5) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 2 Sqrt[z] (114577588125 + 71001176400 z + 13495426560 z^2 + 1117003776 z^3 + 48037888 z^4 + 1048576 z^5) BesselI[3/4, Sqrt[z]]^2) Gamma[3/4]^2)/(196709990400 Sqrt[2] z^(1/4))










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