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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=21/4, b1`>=-11/2 > For fixed z and a1=21/4, b1`=7/2





http://functions.wolfram.com/07.22.03.ag9e.01









  


  








Input Form





HypergeometricPFQ[{21/4}, {7/2, 3/4}, z] == (1/(10608 Sqrt[2] z^(7/4))) ((4 z (147 + 2848 z + 256 z^2) BesselI[-(1/4), Sqrt[z]]^2 + 28 Sqrt[z] (-63 - 96 z + 512 z^2) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] + (1323 + 2268 z + 8064 z^2 + 1024 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