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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=3/4, b1`>=-11/2 > For fixed z and a1=3/4, b1`=11/2





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









  


  










Input Form





HypergeometricPFQ[{3/4}, {11/2, -(15/4)}, z] == (1/(3872 Sqrt[2] z^(13/4))) (3 (-4 z (66621555 + 6152640 z + 124928 z^2) BesselI[1/4, Sqrt[z]]^2 + 4 Sqrt[z] (333107775 + 60372780 z + 2350080 z^2 + 11264 z^3) BesselI[1/4, Sqrt[z]] BesselI[5/4, Sqrt[z]] - 85 (19594575 + 5293080 z + 394368 z^2 + 5120 z^3) 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