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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=9/4, b1`>=-11/2 > For fixed z and a1=9/4, b1`=-11/2





http://functions.wolfram.com/07.22.03.ad9a.01









  


  








Input Form





HypergeometricPFQ[{9/4}, {-(11/2), -(1/4)}, z] == (1/(51975 Sqrt[2])) (z^(1/4) ((51975 + 189000 z + 32400 z^2 - 83200 z^3 + 1024 z^4) BesselI[-(1/4), Sqrt[z]]^2 - 4 Sqrt[z] (51975 + 87750 z - 60000 z^2 - 12352 z^3 + 1024 z^4) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + 4 z (51975 - 13500 z - 23664 z^2 + 512 z^3) 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