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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=5/4, b1`>=-11/2 > For fixed z and a1=5/4, b1`=-3/2





http://functions.wolfram.com/07.22.03.acj6.01









  


  








Input Form





HypergeometricPFQ[{5/4}, {-(3/2), 19/4}, z] == (1/(524288 Sqrt[2] z^(13/4))) (231 (-78 Sqrt[z] (137445 + 133280 z + 9472 z^2) BesselI[-(1/4), Sqrt[z]]^ 2 + (16081065 + 40098240 z + 7557888 z^2 + 163840 z^3) BesselI[-(1/4), Sqrt[z]] BesselI[3/4, Sqrt[z]] - 78 Sqrt[z] (412335 + 148512 z + 11008 z^2) 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